{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "dd95c7c5",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np \n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import ticker\n",
    "import seaborn as sns\n",
    "from matplotlib.pyplot import MultipleLocator\n",
    "import matplotlib as mpl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d3e70b2d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def save_picture(plt, file_type, title):\n",
    "    plt.savefig(title + '.' + file_type, bbox_inches='tight', format=file_type, dpi=300, transparent = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4f258901",
   "metadata": {},
   "outputs": [],
   "source": [
    "ppForm_linear5=pd.read_csv(\"ppForm_linear5.csv\")\n",
    "ppForm_linear10=pd.read_csv(\"ppForm_linear10.csv\")\n",
    "ppForm_linear20=pd.read_csv(\"ppForm_linear20.csv\")\n",
    "ppForm_linear40=pd.read_csv(\"ppForm_linear40.csv\")\n",
    "ppForm_linear80=pd.read_csv(\"ppForm_linear80.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "354f0f3b",
   "metadata": {},
   "outputs": [],
   "source": [
    "ppForm_cubic_natural5=pd.read_csv(\"ppForm_cubic_natural5.csv\")\n",
    "ppForm_cubic_natural10=pd.read_csv(\"ppForm_cubic_natural10.csv\")\n",
    "ppForm_cubic_natural20=pd.read_csv(\"ppForm_cubic_natural20.csv\")\n",
    "ppForm_cubic_natural40=pd.read_csv(\"ppForm_cubic_natural40.csv\")\n",
    "ppForm_cubic_natural80=pd.read_csv(\"ppForm_cubic_natural80.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fe230339",
   "metadata": {},
   "outputs": [],
   "source": [
    "ppForm_cubic_complete5=pd.read_csv(\"ppForm_cubic_complete5.csv\")\n",
    "ppForm_cubic_complete10=pd.read_csv(\"ppForm_cubic_complete10.csv\")\n",
    "ppForm_cubic_complete20=pd.read_csv(\"ppForm_cubic_complete20.csv\")\n",
    "ppForm_cubic_complete40=pd.read_csv(\"ppForm_cubic_complete40.csv\")\n",
    "ppForm_cubic_complete80=pd.read_csv(\"ppForm_cubic_complete80.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "361a6c52",
   "metadata": {},
   "outputs": [],
   "source": [
    "ppForm_cubic_ssd5=pd.read_csv(\"ppForm_cubic_ssd5.csv\")\n",
    "ppForm_cubic_ssd10=pd.read_csv(\"ppForm_cubic_ssd10.csv\")\n",
    "ppForm_cubic_ssd20=pd.read_csv(\"ppForm_cubic_ssd20.csv\")\n",
    "ppForm_cubic_ssd40=pd.read_csv(\"ppForm_cubic_ssd40.csv\")\n",
    "ppForm_cubic_ssd80=pd.read_csv(\"ppForm_cubic_ssd80.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "39ec3bc1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-0.999</td>\n",
       "      <td>0.038537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.998</td>\n",
       "      <td>0.038611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.997</td>\n",
       "      <td>0.038687</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.996</td>\n",
       "      <td>0.038762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.995</td>\n",
       "      <td>0.038837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1994</th>\n",
       "      <td>0.995</td>\n",
       "      <td>0.038837</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1995</th>\n",
       "      <td>0.996</td>\n",
       "      <td>0.038762</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1996</th>\n",
       "      <td>0.997</td>\n",
       "      <td>0.038687</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1997</th>\n",
       "      <td>0.998</td>\n",
       "      <td>0.038611</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1998</th>\n",
       "      <td>0.999</td>\n",
       "      <td>0.038537</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1999 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "          x         y\n",
       "0    -0.999  0.038537\n",
       "1    -0.998  0.038611\n",
       "2    -0.997  0.038687\n",
       "3    -0.996  0.038762\n",
       "4    -0.995  0.038837\n",
       "...     ...       ...\n",
       "1994  0.995  0.038837\n",
       "1995  0.996  0.038762\n",
       "1996  0.997  0.038687\n",
       "1997  0.998  0.038611\n",
       "1998  0.999  0.038537\n",
       "\n",
       "[1999 rows x 2 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ppForm_cubic_ssd80"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a4bf3b6e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-1.0000</td>\n",
       "      <td>0.038462</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.9999</td>\n",
       "      <td>0.038469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.9998</td>\n",
       "      <td>0.038476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.9997</td>\n",
       "      <td>0.038484</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.9996</td>\n",
       "      <td>0.038491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19995</th>\n",
       "      <td>0.9995</td>\n",
       "      <td>0.038499</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19996</th>\n",
       "      <td>0.9996</td>\n",
       "      <td>0.038491</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19997</th>\n",
       "      <td>0.9997</td>\n",
       "      <td>0.038484</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19998</th>\n",
       "      <td>0.9998</td>\n",
       "      <td>0.038476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19999</th>\n",
       "      <td>0.9999</td>\n",
       "      <td>0.038469</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>20000 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            x         y\n",
       "0     -1.0000  0.038462\n",
       "1     -0.9999  0.038469\n",
       "2     -0.9998  0.038476\n",
       "3     -0.9997  0.038484\n",
       "4     -0.9996  0.038491\n",
       "...       ...       ...\n",
       "19995  0.9995  0.038499\n",
       "19996  0.9996  0.038491\n",
       "19997  0.9997  0.038484\n",
       "19998  0.9998  0.038476\n",
       "19999  0.9999  0.038469\n",
       "\n",
       "[20000 rows x 2 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = np.arange(-1,1, 0.0001)\n",
    "Y1 = []\n",
    "X1=[]\n",
    "for x in X:\n",
    "    y = 1/(1+25*x*x)\n",
    "    X1.append(x)\n",
    "    Y1.append(y)\n",
    "f=pd.DataFrame(X1)\n",
    "\n",
    "f.columns = ['x']\n",
    "f['y']=Y1\n",
    "f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e54ed3ce",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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brye52bokN5ub5GbrWm9uSueREEIIIYQQQgghhFiTDMwWNbNt27YLqsNQrhxb4Y/+6I/4yle+ct5rP/ETP8EnPvEJS+IRotYkB4VoTJKbQjQmyU0hGpPkZmOQ4pFoG5/4xCdaPqGFaGSSg0I0JslNIRqT5KYQjaldc1OWrbWwZptnJc4nv7/mJ7/D1iS/1+Ynv8PWI7/T1iC/x9Yjv9PWIL/H1rOR36kUj1qU2+1mYWFBEr1JmabJwsICbrfb6lDEBkkOtibJzeYnudl6JC9bg+Rm65HcbA2Sm61no7kpy9Za1ODgIBMTE0SjUatDERvkdrsZHBy0OgyxQZKDrUtys7lJbrYmycvmJ7nZmiQ3m5/kZmvaSG5K8ahFORwORkZGrA5DiLYlOShEY5LcFKIxSW4K0ZgkN0VFzZatKaX+j1JqTil14Vj08vtKKfUZpdRJpdQLSqlraxWLEOI1kptCNCbJTSEak+SmEI1JclOI+qrlzKPPA++8yPvvAnYt/9/PA/9vDWMRQrzm80huCtGIPo/kphCN6PNIbgrRiD6P5KYQdVOz4pFpmt8HYhf5yN3A35tljwOdSqn+WsUjhCiT3BSiMUluCtGYJDeFaEySm0LUl5W7rQ0A4+f8eWL5NdGATNPkxJkxvv/4M0zOyLC0Fie52URM0+T4j7/K6N+/m2h03upwRG1JbjYRXdf5yovf5v95+jMsxZNWhyNqS3KziRSLJT790Cgfv/8sqXTG6nBEbUluNpFsLs9n/3GKv/ryFLl8wepwxCqsLB5dNqXUzyulnlJKPSVT3q0xOTPHi6+eZCmR5IlnXyKeTFkdkmgAkpvWOzk6Tu6VLxOKfovnHvsO2Vze6pBEA5DctN4rx8/ww9STPG97mSNPP0GxVLI6JNEAJDet98yLx7hvzMvDsx1898evYBiG1SGJBiC5aS3TNLnv4VEefyXCYy9HuP/hM5imaXVY4nWsLB5NAkPn/Hlw+bULmKb5OdM0rzdN8/pIJFKX4MRrTNPk1eNn6Aj4ufOtb8Rus3H0xBmrwxK1I7nZJHTd4Nips4SYAcCVG+X46bMWRyVqSHKzSeQLBU6dHSfpSQAwbcxx5uyqvyrRGiQ3m0QylebJsSQJ3YWJ4pkFJxPTc1aHJWpHcrNJTM8t8S/P9REKlOjw63zvuT5moktWhyVex8ri0f3Av1megv8GIG6a5rSF8Yg1zMeWSKYz7BwZwu1ysnWwn6nZefLSTtiqJDebxNTMHIVCEX9xAoB+Z4zxyRl0Xbc4MlEjkptN4uzEDFkzzxLl4lG+I8voxLQ8RW1dkptN4szYFMeyIWwKen2KE4UuRsenrA5L1I7kZpO49+EcqZyXj93t4GfvspPMejn8cM7qsMTr2Gt1YKXUPwJvA7qVUhPAHwAOANM0/xp4AHg3cBLIAP+2VrGIzZmajaJpGgP9PQAMD/ZxcnSc6bl5tg1tsTg6sV6Sm61jajaKxwFaqtxtFGaGQrHEfGyJ3kiXxdGJ9ZLcbB1Ts1GKna8tIU370qSiGRLJNB1Bv4WRiY2Q3GwNpmkyORPlRGE3Nw3Y2dNt4wvP+RiLJsnnC7hcTqtDFOskudkadN3gpdN+RvozXLWnA4CdA4s8dayTUknHbrdZHKGoqFnxyDTND1/ifRP45VqdX1TP7NwCka4Qdls5cTsCftxuF7PRBSkeNSHJzdZgGAZz84ts9afBLHcaOTNn0NwaM9EFKR41IcnN1pAvFIktxslvzUIRdntHmC1FOQDMRhekeNSEJDdbQzKd4UxCMV9w8AsjDvZ02fi75/KcyHUyOx9jeKDP6hDFOklutoaTY3EyeT9X7syuvHbdPsXJSTsvn0xx1d4OC6MT52qKgdnCOql0hlQmS985N6JKKXq7w8zNL0oLvhAWiS0lKJZK9DgWALD1Xoe5eJxIV4jZ6MV2rRVC1NLcfDn/Ys4luhwhrg7sZ6YwhzfgZnZ+weLohGhfs3MLHF1esva2bXb2dmts8SuO58PMRiU3hbDKc0fLRaNr9nlXXrt6rw+AF09mV/0ZYQ0pHomLWliMA9Dd1Xne65GuToqlEolk2oKohBALsSUAAsvzjuw77sLMLRDx6aTSGfIFmUkmhBUWFuPYbDYmSzOMeIYY8QxjYKJ3FogtJWRnJyEsMh+Lcywf5rotdjrdGkopbt/u4HQuwMR80urwhGhbJycUDpvOyJbXlqcN9NhxOkqcmVQWRiZeT4pH4qIWlxLY7TaCft95r4c7y+2DsaW4FWEJ0fZi8QR+rweVOInyb8HWdwMAYWbL7y8mrAxPiLa1uBTH3+FmKj/Dds8QI97yRj8JTwJdN+ShixAWORrNsVB0cfvIa1M7bh9xoJuKF5bc5GQjGCHqTtcNpuc9DEQK2GyvFYqUUmzpKjITc8lDlwYixSNxUbGlBKGOIEqdX/X1eT24nI6VziQhRP2YplnOzc4gRuwoWngvtvBeAHzFcZRSUtgVwgK6rrOUSFEI5jEw2e4dJuII47d5mbeVl7MtSG4KUXeZbI7n434UJm/b6lh5/UDERsQDR7MhYnJNK0TdTUeTxDNedg5d+N6OQUhkvMzOp+ofmFiVFI/EmnRdJ55MEe4MXvCeUopQZweLS9LdIES9ZXN58vkC4Y4geuwYttBeVGAY7G5YOkFHwE9MclOIultKpDBNk4S7nH8jnmGUUmzzDDFWmMLtcsr3phAWWFxKcDQb4mBE0eV97fbntaVrQSbnJTeFqLcXT+QAxcHdrgve27fdCShePiVzjxqFFI/EmioXwaFVikcAnUE/yXQGXdfrHJkQ7a1y8xly5yG/hBbeg9JsaKHdGLGjdAT9xJfzVwhRP4vxcm7OqnkCNh/djhAAI54hxnKT+INe4gl5gipEvb00lWa+5OGOHRfeoL59uxMdjUen5DtTiHo7ftZEKWO5UHS+fSPl106Ny7K1RiHFI7GmRLJ8gdsRWH1b4cp2w4mUzG8Qop4qOecvjAOgLS9Zs4X2YMSO0hn0UygWZX6DEHWWSKZxOh2MFyZXuo4AtnuGKJolir4CiVRa5jcIUWc/mlIoTG5f5Qb1YK+NDofOU/MXvieEqK3xOSeRjjxu54WDsYN+jaA3z/icfZWfFFaQ4pFYUyKVxmaz4fW4V32/UlSSp6hC1FcimcLv9UD8BAC28B6gXEQy4qcJeh0rnxNC1E8imcLnd3M2N8V272sDHEY8wwAsuZYwTZNkOmNViEK0pecW3Wz3F4j4Lrz10ZTipt4SJ9IBFtPy0EWIetF1nYWEh4FIcc3PDESKzC56pJu+QUjxSKwpkUwT9PsuGJZd4fN6sNk02TlGiDpLJNMEA3702DGwe1CB8k2qFt4LpkFAnwEgLsUjIerGNE0SqTR5f56SWWL7csEIYMDdi1M5iGoLACTkoYsQdZMvFJnLu9gTWvvm85YhOyU0nhqTa1oh6mVqLkdJtzPQs3ZJYvsA5AouJmZk7lEjkOKRWFMimSIY8K35vlKKYMAvN6hC1JGu66QyWYIBX3mntdBulCr/VV7Zcc2WOo3H7ZKuQCHqKJvLUyrpLDnLOzaNeF7rPLIpG1s9A0yUptE0Jd+bQtTRaDRDCY1tIcean9nX7wHgzEK+XmEJ0fZOT5TzbeuWtXNz97bye6+ekdxsBFI8EqvK5QvkC8WLFo8AOgI+WRojRB0l0xlM01wpHlUKRgBaaDcAeuwowYBf5pEJUUeV78J5bR635qLf1XPe+yOeYUazE/h9XunYFaKOTkTLHQs7ui8cll0x2OlCw2QsLpvACFEv4zMlAHYMrT4iBWDn8nuTc6W6xCQuTopHYlXJ5ZvOoH/1YdkVfp+PfKFIobj2WlUhRPVUbjoDbhtGYhQttGflPeX0o/yDGLGjBHxeUsuFJiFE7VVyc9KYZZtnEE2df4k14hkiY2TR/SWZeSREHZ2Jla9Rd0bWvkF12DTCziIzUtcVom6m500cNp3uTtuanwn67bgcRWYX6hiYWJMUj8SqKhfBl+o8Cvi8AKTkQliIukik0iil8BanwDRWdlqrsIX3YsSO4vd50XWDbE7afIWoh0Qqjcvl4Gxu4rx5RxXbl5exJVwJMtmc7LgmRJ1MJAxsmPT5L37b0+MxmMvKrZEQ9RJdshMKFNacr1vR4S+ykFi7wCTqR/6GFKtKpTPYbTbcrotvW+r3ldeIJ1NSPBKiHlLpDD6vB5bO32mtQgvvRY8dw+91r3xeCFF7qXQGPVAkZ+TPm3dUMewZQENjwR7DNE1SGRn+KUQ9TGcU3e4SNu3iN6j9fkWs6KRYlOUxQtSaaZospZxEQpdeKtrdYRBPOaWbvgFI8UisKpXJ4vN5LlkJ9nnLn5EbVCHqI53O4vd60GNHgdfmHFVo4b1QSODXkgCyPEaIOkllssRd5bxbrfPIpTkZcPcxY0bLn5eHLkLUnK7rzBcc9HsvfdM53GEjZ9qZWpS1a0LUWiyeI1tw09d16c/2hCFbcBFPFWofmLgoKR6JVaXSGfxe7yU/p2kaPq9HikdC1EGlW8Hv82IsHkP5B1HO8+eSVTqRHKnT2G02yU0h6qBQLFIoFIk5YtiVnUF3/6qf2+4ZYrw4BUhXoBD1kEpnWSy5GAxe+pZna7jcbX96PlfrsIRoe6OT5bEKQ32XXo420FP+zNiU5KbVpHgkLmAYBplsDt/ykrRL8fu80t0gRB3k8gV0Xcfn9Vyw01pFZQaSsXgM//LQbCFEbaXT5SVos0QZdm/BodlX/dyIZ4jFUhzDrcv3phB1MLGYpWja2BpaPSfPtbO7vNz77KJsAiNErVV2Wtvaf/ERKQDDy58Zn5HOI6tJ8UhcIJPNYZomfu/lFY8CPg+pdFbWoQpRY+lM+WbT73Wjx45dMCwbQPkHwOFbHprtkXlkQtRBKpPFxGSiNL3qkrWKkeX3Mv6MFHaFqIPTC+WbzR1drkt+drCjXGAaj196BosQYnOm5k0U5kph6GIqBaapqGw0YTUpHokLVIZ4+n2XXrZW+VylW0kIUTup5e4Gn0pAIYH2umHZAEqp8o5ry51HmWwOXZcLYSFqKZXOkNGypIwMI94Lh2VXjHgGAYi74tJ5JEQdnF0qf/+NhB2X/KzfqfDZdKZl5JEQNTcX0wh48zgdly5H+DwabmeRucWLz+IVtSfFI3GBSvu9/zKXrfmWO5TSsnOMEDWVSmdRSuHMjAKsumwNQAvtQV/uPAKksCtEjaUzWVK+tYdlV/jtPnqcXczbYhQKRYol2dVJiFqaTBpomPQHLu+Wp8djEM3ZpJteiBpbSNgJBy9/iWinv8hi4tLLT0VtSfFIXCCVyWC32XA5L91GCK8Vj+QGVYjaSmcy+LwezKXjQLlItBotvBczcRafo3zxm5bcFKKmUukMSU8SDcW25e6itYx4hpgx5wDIZCQ3hailmYxGl0vHrl1ex0K/DxaLTgpFKewKUSuGYZDMuOjuvPwibVeHQTzjlMKuxaR4JC6QSmfx+TwodXlftB63C6WUdB4JUWOpdHZ5WPYxcPhQgYFVP1fpSHLnJwDpChSi1tKZLAv2Rba4+nBpF3/wMuIZIqovUFRFyU0hakjXdaJ5O33ey5+TMhjUiOtO4jIvUIiamV/Moxs2ekKXvwytNwy5got4UoZmW0mKR+IC6UwWv/fy5h0BaJqG1+OSi2Ahasg0TVKZLH5feac1LbQbpVb/K7wySNuRPo2maWQkN4WomWKxRL5QZE5F2X6ReUcVI57yZxYdS/K9KUQNpTJZFksuBoOXf7szHLJjohiL5WsYmRDtbXymnF993Ze/DG1LpJzHY9PSsWslKR6J8xiGQTpT7jxaD5/HI0tjhKihXL6Aruv4vV702NE15x0BaKFdgMKIHcPndZOWpTFC1EwqkyGn5YibyZXd1C6m8pm4KyHfm0LU0PRilrxpZ2vn5d+gbl/elW00Jt0NQtTKVLS8LHRLz+WNSAEY6isPvZ+YlSWlVpLikThPLp/HNM2VOUaXy+v1SHeDEDVUmSnmc5qYibNrzjsCUHY3qmMbRuxoubAruSlEzWQyOWKOJeDiw7IruhydBG1+4u645KYQNXQmVh7Gu73r8m9QhzvLN6jjCdmlVIhamYuVl5IOrKN4tHVLubA7PX/5y1BF9UnxSJyn0qHg87jX9XM+r5u87BwjRM1UirOewhRgrixNW4stvBc9dhSf10M6m5UBg0LUSDqbY9GxCMDIJYZlAyilGPEOEbMvykMXIWpobKl8TToSdlz2z0S8CpsymE7VKiohxEIcnPYSfu/llyJ8HhtuZ4G5xcufkySqT4pH4jyV7gbvuotHyzuuyfIYIWqikpuu7CgAtvDanUdQnntkLB7D53FRKumyc4wQNZLJ5lh0LtHj7MJv913Wz4x4hlhQMRLZtBR2haiRiSQoTAaCtsv+GZum6HLpzGbkBlWIWllKagS8xXX/XIevSCx++fksqk+KR+I8lRtUj3udxSNPuXiUzspTVCFqIZ3N4XQ6YOk4AFpo90U/bwvvhVIWH7Hyz0uHgxA1kclmWXQuXdaStYrtnmF0DBa1JXJ5ma0iRC3MZBQhh47Ttr5CUJ/XZL7gwDBkeYwQtZDIOOj0r39paDiok8hcfiehqD4pHonzZLI53C4nNtv6/tOodB7JDaoQtZHJ5vC63RiLx1CBYZTj4jsiVmYieXNj5Z+X3BSiJpayCeJaYmUXtctR+WzMsSjfm0LUyFzORq93/TeoW/yKpZJr5YGqEKJ6SqUS6ayTcMf6u267OiGTd5LPSze9VaR4JM6TyebWvWQNwOGwY7fbZFcnIWokm83h9boxLrHTWkVlJpIzcxqQwq4QtWCaJpOlGQC2ey+/86jf1YNLOVmU4pEQNVEslYgVXfRf3krS8wx12MibNmaW5JpWiGqLLuYpGXYiofWXIco/o5iM5qsfmLgsUjwS59lo8UgpVR7MKxfBQlSdaZrLnUcu9NgxtEvMOwJQ3h5wdcLSCVxOhywpFaIGiqUSUW0BgJF1LFvTlMY2zyAxx5J8bwpRAzNLWbKmneGO9d/qbAuXd4A6E5MbVCGqbWquvFS7r2v9s4v6u+0ATM7Jcm+rSPFIrFi5QV2eX7RePo+HjNygClF1+UIR3TAIqDgUU5fcaQ3KBV1beC/64jG8Xo90BQpRA5lMjphjkaDmJ+zoWNfPbvcOs+SU4pEQtXB6oXxzuS20/vko27vKW4JXdmsTQlTPzHx5KemWnvXn5kBPubA7O7/+5aiiOqR4JFbk8gVM09xQ5xGUd2jLZPOyc4wQVbYyyL4wDnBZy9Zgece12FG8HjdZmd0gRNVlsuXi0VbX4Lp/dsQzRFGVmMrP1SAyIdrb2Vh5J6ftXc51/2xld7bJpFzPClFtc7HyIPpKIWg9+rsdgEl0SXLTKlI8EisqA3W93o0Xj3RdtgQXotpWikfZs8Brw7AvRQvtwUxN4bMXyeSksCtEtcUzKeL2BDt8l79kraKyzG2iOF3tsIRoe+PJ8g3qyHIX0Xp4HYqAvcRMptpRCSEW4uCwlfB51rcLIoDDoeF1FYnF1/+zojqkeCRWVG5QN9p55PG4zjuOEKI6KstB7anT4PCj/Fsu6+cqHUqB4iSGYZAvyBpxIappNDOBqUx2+rat+2eH3f1oaMwwJ4VdIapsOmUSsBXxODZ2qxNx60Sz65/JIoS4uMWkjYC3iFIbKwAFvEWWUpKbVpHikVix2eJR5eekeCREdWWyORx2Oywdxxbec9lfuJXZSJ782MpxhBDVc7YwAaxvp7UKh+agzxYhZl8km5PBvEJU03xWo8u18bkofV5YKDowDKOKUQkhEmk7nf6N52an3yCZsVcxIrEeUjwSK9LZHC6nA7ttY9XcSvFIZqsIUV2ZTHkXRD129LKGZVdonTtAs+PKjJaPI7kpRFVN6jO4TCe9zu4N/fywc4BFx+LKsnEhRHUsFGxEPBsv/AwEFAndSSIt35tCVIuu66RyTsIdG++2DXeYZPJOijImxRI1LR4ppd6plDqmlDqplPr4Ku8PK6UeUUo9q5R6QSn17lrGIy6uvNPaxrqOAJwOBzabJjeoTUBys7lksjl8LhMzOXbZ844AlM2B1rEdW/LUynFEY5PcbC5zROnTejbcfr/DO0zOlmcmHa1yZKLaJDebR6FYIl5y0Ofb+FyUoQ47oBiNSVdgo5PcbB4LSwVKup1IaOO5GQlpmKbGzLyMYrBCzYpHSikb8FngXcB+4MNKqf2v+9jvAv/XNM1rgH8F/FWt4hGXttnikVJqecc1uUFtZJKbzcU0TTK5HB3GDHD5O61VaOG9mEvHcNjtkpsNTnKzueSLBWL2JYbslzeDbDW7giMAnMqMVSssUQOSm81lYjGHgcaWwMbnomwLl7cRH43JDWojk9xsLhOz5WJsb9fGc7Pys5NzxarEJNanlp1HNwInTdM8bZpmAfgycPfrPmMCweV/7gCmahiPuAjTNDddPAKkeNQcJDebSLFYolTS8S3PVtHCl995VP78XoylE3jdDjJZeYLa4CQ3m8hEcgZd6Qy6+zd8jJ3+rQCczU9WKyxRG5KbTaTSLTTU6djwMbZ3lzeBGY9vfDaLqAvJzSYyM19earYlsvHcrPzs7IIsW7NCLYtHA8D4OX+eWH7tXJ8EPqqUmgAeAH51tQMppX5eKfWUUuqpaFRau2shXyhiGAZej2dTx/G6pXjUBCQ3m0gln9y5s4BC69y1rp+3hfeCXiCoYjKPrPFJbjaRiVS5G3DA27PhY3htHjqMIJP6dLXCErUhudlEJpbKN5Vbw84NH6PHb8euDKaSshNig5PcbCJzsfIcsoGejedm5WejizLM3gpWD8z+MPB50zQHgXcDX1RKXRCTaZqfM03zetM0r49EInUPsh1sdqe1Cq/HTaFYpFSSJzVNTnKzQaSXc9OZOYMKbkU51lfgrQzYDpYmpbDbGiQ3G8RUdg6AQf/GO48A+lSEWearEZKwluRmg5hIlq9Bt3Vt/JpWU4qws8hsZuOzWUTDkNxsEAtxsNt0Ar6NlyA8bhsuR5GFuOSmFWpZPJoEhs758+Dya+f6GPB/AUzTfAxwAxvbskRsSiZb3ulls8Ujz/LPy01qQ5PcbCKVbiEtcXLd846AlQHbvsIYxVJJdqdobJKbTWS2MI8yFVt8vZs6TsTWRVKlKBmSmw1McrOJzKVNfLYSHsfmbnN63AZzuY3PZhF1IbnZRBaTGgFPYcObTFQEvEUWk1b3wLSnWv5bfxLYpZQaUUo5KQ8ou/91nxkDbgdQSu2jnMzSJ2iBanYeAWRyUjxqYJKbTSSdzWLTFObi8XXPOwLQPGGUJ4IrOwpIYbfBSW42kfnSAn7Th0Ozb+o4Pa5uTGUyk5HuowYmudlE5jIaYefmi7F9XpNY0YFhyPKYBia52UQSaQcd/s2vTun06yQzm/vuFRtTs+KRaZol4FeA7wCvUp5y/7JS6g+VUnctf+w/AP9OKfU88I/Az5imKYuLLZDJ5HA47Dgcm0tEr3QeNTzJzeaSyeYI2ZJQyqwsQVsvLbwXR+r0yvFEY5LcbC4xY4nOlRmsG7fFXZ6ZNJ6SuUeNSnKzuSwUbEQ8my/4DAQ1CqaN2aTsuNaoJDebh2EYpLJOwh2b/1cfCpqkck4p7FqgpiU70zQfoDyY7NzXfv+cf34FeFMtYxCXpxo7rQF43C6UUnKD2uAkN5tHJpujyyzfVG5k2RqUi0fq5NcgLMWjRie52TziKsFu245NH2fQ1weLMJmZqUJUolYkN5tDSddZKjq4ybv5m8rhjvJt0un5PP0dm79GFrUhudkcYvECRd1OpHPzx+ruVBiGjbmFAn0Ryc16ksWCAqhe8Ugphcftkl2dhKiSTDZHoDgBvDa/aL1s4T2QjeI0klI8EqIK0sUsWS1Hj6Nr08caCPShTMVMXlZRCLFZk4s5dDS2BDc/q2jb8m5to4vSeSTEZk3O5gHo7dp870pfVzm/p6KSm/UmxSOBaZpVKx5Beema3KAKsXnFYnnAtTc/Ds4gyte3oeNUlruFmZV5ZEJUwXhyCoA+1+Z35PE63fgML9FibNPHEqLdnY2Vb1CHOjZ/g7q9u3xdPJmQpTFCbNb0fHkOWX+3Y9PHqhxjZl42mqg3KR4JCsUSJV3H51nfFuBrkeKRENVRySNn9gy28J4N705RKR516JOSm0JUwXi6vMRswLu5ndag3LEbNAMs6FI8EmKzxpaKAAwvdw1tRsDjwKsVmUlJ8UiIzZqNlfNosHfzxaOB3nJ+z8UkN+tNikdi5WbSU8XOo2wuL0PMhNikSm7akqc2PCwbQAtuA5sTX0mKR0JUw3R2DoAhf39VjhfWOlkyE1U5lhDtbCpR3slpW7g617RhZ4m5zOa2FRdCwMIS2DWdjsDml5QG/XYcthLz8c3HJdZHikeCTDYLgK9KxaNKESqby1fleEK0q0w2h83IotKTG553BKA0G1poN+7cWfL5Arq++W1ShWhns/l5bIaNXl93VY7XbQuT0bLkDZnfIMRmzKRNvFqJgHvzN6gA3W6D+Xx1jiVEO1tMaPi9hQ130b+e31tgKSmljHqTf+NipROhajOP3O7zjiuE2JhMNoevOAlsfKe1Ci20B2f6NCCFXSE2a74UI2j60bTqXEb1OMtFqKnMbFWOJ0S7mstohJ3Vm4PS64XFgh1DdnYXYlPiaTud/uo9vOzw6cTTUtitNykeCTLZHHabDYdj88MF4bUilBSPhNicTDZLyCzPVtHCG+88gnLxSUudRZlFyU0hNmnRXKKTjqodr9/TA8B4arpqxxSiHS3kNbo91Rub0O9X6GjMJYpVO6YQ7cY0TVI5B6FA9YqwoaBBKuuUMSl1JsUjsbLTWrXaCL0e18pxhRAbl8nmCOgToDS0zp2bOpYW3osydTyFKclNITbBNE3iJOmyhap2zKHlnRQnpfNIiA3TdZ3FkpNeb/VmFA0u79p2ZkE6doXYqFi8QLHkoLt6X5t0dypKup2lpOy4Vk9SPBJksrmqDcsGsNlsuJxOuUEVYpMy2RzewgRacBvKvrkcrQzc9hbGJTeF2IREMUlRKxJxdFXtmL2+bmyGjdl8tGrHFKLdzCYKlEyNLYHq3d4Mhcq7Oo0tyTwyITZqaq5cfO0NVy83e5aPNTknhd16kuKRWOk8qiavxy03qEJsgq7r5AtF3JnRTe20VmEL7QagU5fOIyE242xyCoA+d6Rqx/R63Ph1H3PFhaodU4h2U+kOqnQLVcNIV7mbfjIuG00IsVHT0XJ3UH/EUbVj9nfbzzu2qA8pHrW5YqlEsViqfvHIK8UjITYjk82BaWBPn9n0vCMA5Qqi/FsIlCYlN4XYhMl0eWnZgKe3asdUStFhBlnQl6p2TCHazfhyd9DwcrdQNYR8LjxaiemUzFURYqNmY+X8GeitXm4O9JbvXediUtitJyketblq77RW4fW4yeZymLI7hRAbksnmcJeiKD236Z3WKrTwXjz5MSkeCbEJU7ly8WjI31/V44a1TpaIy/emEBs0mSjfRG7rqt41rVKKkKPIbKZqhxSi7Swsmdg0nXCwel2B4aANm6Yzv1S1Q4rLIMWjNlfL4pFhmOTyskZciI3IZHN48+MAVVm2BmAL7cWVHSWbzcnuFEJs0FxhAZfupMvfWdXjdttDFFWRpJ6u6nGFaBfTKRO3phPyVu8GFaDbbTCfk1smITYqltTwewpV25wJQNPKx4wlqndMcWnyN2Gbq2Xx6NzjCyHWJ5PN4SssF49Cm1+2BuUilFZM4CjFyOVlwKAQGzFfihEwA2hadS+hepzdAExn56p6XCHaRTRb7hKqtl6vyWLRIV2BQmxQPGWnw1/95WUdvhLxVHWLxeLipHjU5rLZHJqmcLuqtwYVwLdSPMpW9bhCtItMNkdAnwRXJ8rbU5VjVmYnefOy45oQG7VoLBGio+rHHfCWZyhNpKerfmwh2sF8TiPirn5XbZ9fo2hqzKdltooQ62WaJqmsg1Cg+rkZChikstUbwi0uTYpHbS6TzeFxu6vaRgjSeSTEZmWyOfzFCWzhPVXLz8rsJF9hjHRGclOI9dJNg4RK0WXrrPqxB33lGUqTmdmqH1uIVmcYBotFBz3e6h97IGgD4MyCfG8KsV6JVIlCyUF39Z+50B1SFEoOEqnqdxyK1UnxqM1lsrmqL1kDsNvtOB0OMnKDKsSGZLI5PLmzVZt3BKACg2D34i1I55EQGxErLGIog4ijq+rHDvs6cOlOZvLRqh9biFY3nypSMG1sCVT/1mbr8u5tY4syx1OI9ZqcLY9J6AlXPzcrx5yYldysFyketblaFY+g3H2UyckNqhDrZRgGxcwS9vxc1eYdASiloYX34C9OSvFIiA0YT88A0OeOVP3YHrcLv+4nWoxV/dhCtLpKV9CW5S6hatoadgEwES9V/dhCtLrp+XJXUH+k+rOJ+rrLx5yOSudRvUjxqI3pukEuX6ht8Ug6j4RYt1w+jyc/Bry21KxabKE9+ApjUjwSYgMmlotHA96+qh9b0zQ6zAAxY7Hqxxai1Y0vlm8eK11C1RQJunGrEtNJ2aVUiPWaXSjnzUCPq+rHHlw+5mxM5pHVixSP2lg2V5ud1iq8HjeZbE52pxBinTLZHN7KTmvh6nUelY+3F2d+mmw6XtXjCtEOprOzYMKgv7cmxw9pncTNJLopN6lCrMdkotwVNNJd/WtapRQhZ5HZTNUPLUTLiy6ZaJpOd6j6nUfdITuapjO/KPea9SLFozZW6TyoWfHI60Y3DPIFaSUUYj3SmRy+/DgoG1rHjqoeWwvvRWFC/KQUdoVYp7nCAl7dS9Drr8nxI44uDGUQKy7V5PhCtKqplIlT6XT5arPzUpfLYD4nt01CrFcsrhFwF9C06uePpmn43UViiepu/CTWJn8LtrGaF49kxzUhNqTSeaQ6RlD26rb5VpbBefPj5PIyYFCI9ZgvxQgafuz26j9BBeh1dgMwk5uryfGFaFVzGQg5i1XfPbiix2sSK9jloYsQ6xRP2wj6azcvLOgrEk/V5jtZXEiKR22sUtTxuKu/BhWkeCTERmWyOfzF8arPOwLQQrswUXjzMvdIiPVaNON0qhrsN7xsi7e8HK4yW0kIcXnmcxrdrtot9+z3KQqmjcWMLCkVYj2SGQehQO3yJhQwSGZr03EoLiTFozaWyeZwu101aSMEKR4JsVHZTBpPfrKqO61VKIcX5R/CVxgnk8lW/fhCtKqCUSSl0nTZQjU7xxZvD8pUTGVna3YOIVrRYtFOj7d2XUEDwXJnw2hMrmmFuFzJdIlCyUF3Z+3O0d0J+aKDdEZ2Q6wHKR61sUw2V7MlawBOhwOH3U4mKzeoQqyHHj+LZuZr0nkEYOvai1d2XBNiXeby80B5LlGtdPj8eHUPM8vnEkJc2mK6SM6w0+ev3W3NUKjc2XA2lq/ZOYRoNROz5fEIPaHa5Wbl2BOzkpv1IMWjNpbJ5vC6a1c8gtd2XBNCXB7TNFGJU0B5uHUt2Lr24StMkJbOIyEu22Sm3A3U747U7Bwetwuf7iNaXKjZOYRoNafmy9eZQx22mp1jJFwe8TAel+4GIS7XVLS8aVJ/pHYzifoijuVzSW7WgxSP2pRpmmRz+Zp2HoEUj4RYr3yhgCd/FgAtXP1la+Xj7sVmZCnEx2pyfCFa0USmPIdoYHkuUS3YbDY6zSAxY6lm5xCi1YzGyt0NI2Fnzc4RCbpwKp3plMw8EuJyzS7oAAz01C43K8eunEvUlhSP2lQ2l8c0zboVj2R3CiEuTyabw5sfx3SGUJ7umpzDVpmltHSsJscXohXNZKNopkavrzZ5WRHWOkmRJm/IbohCXI6xpfJN4/au2mwAA+XCbshRZDZds1MI0XKiiyY2TSdSw8JuT9iBpgzml6SwWw9SPGpT2eVuoHoUj0olnWJJWgmFuByZbA5fYQzVuatmWw5XlsPZEqeksCvEZZotzOMv+fB7vTU9T7cjDEC0EKvpeYRoFZMpA69WJOyvXfEIoNulM5+TWychLlcsoeH3FGq2OROAzabhcxdYiNfmmlmcT/4GbFOZOhaPADIZWbomxOWodB7ZuvfV7BzK14dhD+DJnyVfKNbsPEK0knk9RsDw43TUdkvgXle5s2kmP1fT8wjRKmbSii5nsWYPXCoiHpNYoXazW4RoNfGUjaCv9teZQV+JeKp2M8/Ea6R41KbqVjzyus87nxDi4rKJKC49hqOrhsUjpTA7duEtjEtuCnGZFo04naqj5jeoA54+4LUB3UKIi4vmbETctV+y0u9X5Awb8azMVhHiciQyDkKB2udmKKCTzNT2wY4ok+JRm0pns7icDuz22lZpVzqP5AZViMuiLxwFarfTWoUtvAdffpxMVnZcE+JSUqU0eZWn2xaq+bl6vd3YTBvTUjwS4pJKhsli0U6/r/ZLsAeC5Wvm0Zhc0wpxKYmUTrFkp7uz9ufq6oBc0Uk2J2NSak2KR20qncnh9Xpqfh6nw4HNZpPikRCXK34CAC1Um53WKhzd+3GXomQT8zU9jxCtYDZfzpMeZ22HZQP4fB58JS8zeclNIS5lbKmIiWIgUPtbmsHOcmfD2ZgMsxfiUiZm8wD0hGufm5FQ+RyTc5KbtSbFozaVzmTxeWpfPFJK4fW4SUt3gxCXZJomtuQpTGVH69xR03M5IvsBKM4frel5hGgFk9lyF1C/p6fm5/K63fh1P9GSDMwW4lLOzJdvULeGaj+LaFu4PJB7PC7dDUJcylS0POuov7v2y8n6I+WuwKk5meNZa1I8akOGYZDN5fF5azvvqMLrcUvnkRCXIZcv4M2PYfiGUbbaftlWlsWZi8dqeh4hWsFkegaAQV9fzc9lt9voMAPEjEXZDVGISziz3AU0Eq7tTmsAfR1uHEpnOilbggtxKbML5dlgQ321z82BHicAMwsyj6zWpHjUhrK5PKZp4qvDsjWQ4pEQlyudyeItjEPn7pqfS+vYgYkNlTxV83MJ0eymc3M4DQcRX7gu5wtrneQpkNIzdTmfEM1qIqFjw2Coq/bXtHa7jU57kZm0FHWFuJRozMSu6XR11r7zqLfLiVIG0UUp7NZaTYtHSql3KqWOKaVOKqU+vsZnflIp9YpS6mWl1JdqGY8oS2fKS8jqWTwqFksUi9Lm2ygkNxtTJp3CW5jE1lXbYdkAyu6i5B3EkTot3Q0NRHKzMc0VFvCX/Cs7iNZaxNG1fF6Ze9QoJDcb01TSJOQo4HbWZ6elLpdONCvP3huJ5GZjWkgo/J4Cmlb7fLHbbfjdBRbikpu1VrMFwkopG/BZ4A5gAnhSKXW/aZqvnPOZXcB/Bt5kmuaiUqr2wwQE6eUuoMpOaLVWWR6XyebocPjrck6xNsnNxpVbOEmHWcTVc6Au5zOCO/EsnqZQLOJyOutyTrE2yc3GtaAvEjQDOOy1n6sC0OeKQBFm81F2eLfW5ZxibZKbjWs2o9HtLKCUqsv5+rwmZ+btmKZZt3OKtUluNq54yk6Hv36NAx3+IouJ2u4iLi6j80gp9atKqY3sTXsjcNI0zdOmaRaALwN3v+4z/w74rGmaiwCmac5t4DxindKZLEopPO7ar0GF1zqcUhkZml1Nkputp7RQHl5t79pXl/Npob14CxOkU6m6nK9dSG62FsM0WDIThFRn3c45sDxbaSIzW7dztgPJzdZimibRvI0+b/26ZwcCirxhI5aR2SrVJLnZWgzDIJl1EA7WbxlZOKgTTzulm77GLqe3q5dyFff/LrcFXm6ZfQAYP+fPE8uvnWs3sFsp9SOl1ONKqXde5rHFJmQyWbwed13aCOG14lFaikfVJrnZapbKw6srw6xrzRHZj80skomeqMv52ojkZgtZLMbRlU7EsZH7mo3p9oVwGk6mpHhUbZKbLSSWNSiYNvrr2NS+tbPc2XAyKrM8q0xys4UsJXVKup3uzvp15/WEFEXdTjwphd1aumT1wDTN3wV2AX8L/AxwQin1/1VKVWMfafvysd8GfBj430pd+GhPKfXzSqmnlFJPRaPRKpy2vaUzOXx1WrIG4HQ4cDjsUjyqMsnN1mNLnqbkCKF5uupyPk/fFQAUoq9c4pNiPSQ3W8tMvvzvr9cVqds5fV43/pKPWZl5VFWSm63lzEJ5p7WhjvotVdneVe7aP7V8blEdkputZWy6XFzt665fbvZ3l8saZ6fzdTtnO7qs1hOz3P81s/x/JSAE/LNS6s8u8mOTwNA5fx5cfu1cE8D9pmkWTdM8AxynnNyvP//nTNO83jTN6yOR+l28tap0Nou3TsOyK3xeD+mM7BpTbZKbrUPXdVzZUfTA9rqd0961HwAjdrRu52wXkputYyI9A8AWb2/dzun1uPHrfuZLsbqds11IbraOM7FyAWckXL+Zfdu73ShMzi7JJjDVJrnZOibnyvkx2FufOYEAA73lofmTs8W6nbMdXc7Mo3+vlHoa+DPgR8CVpmn+InAdcM9FfvRJYJdSakQp5QT+FXD/6z7zNcpVYJRS3ZTbCk+v83+DWIdiqUShUFwZYl0vfq9HOo+qTHKztWSyOXz5MVTn7rqdU/N2U7J3oBKybK2aJDdby2SmXDwa9NWveKRpGiHVwZIRxzBl6+FqkdxsLWcXyzeJI131meEJEPC66LAVmEjIXJVqktxsLdPz5e+t4f765ebwFvd55xa1cTnlwDBwyDTNs+e+aJqmoZR671o/ZJpmSSn1K8B3ABvwf0zTfFkp9YfAU6Zp3r/83p1KqVcAHfht0zQXNvo/RlxaJlNuI/RZ0Hk0ORPFMIy6zVpqA5KbLSS9OINHX0Kv07yjiqJvO46UXENVmeRmC5nNz+PRPXT6gnU9b7c9hK4MYsU43c76zVtqcZKbLWQiYRDQCoQC4bqdUylFxFViOlO/joo2IbnZQuYXweMs4Pf66nbOgNeB25kmuli3U7alS/7NZ5rmH1zkvVcv8bMPAA+87rXfP+efTeA3l/9P1EGl+8fnqX/xyDRNMtkcfp+3ruduVZKbrSUffRkP4Oq5oq7nNTt24Z78LiVdx26TLU6rQXKztUSLCwR0X912KK3odUbAgLnCvBSPqkRys7XMpCHsLGKr83dXr9fg6ZgUj6pJcrO1LCRsdPgKQP2KRwAdvgILCWlSqCX5t9tmKsUjK2YenXt+IcT59IXytZGr90Bdz6uF9+DSF0kvTtX1vEI0i5i+RIcZrHvXbL+nB4DJ7ExdzytEs5jL2ehx139npUE/ZA0bS1lZHiPEapZSDkLB+udmOKATTzvqft52IsWjNpPO5rDbbTgd9X1iIsUjIS7OXDqBoezYOuo3MBvAESkXq7IzL9X1vEI0g6JRJEGKsK3+nT8D/j4wYTI1W/dzC9HociWTRMlOX30bGwAY7ix3Op1akF2dhHi9XN4gV3AS6az/XLDukEk27ySXr3/hql1I8ajNpDNZfB4PSqm6ntfjdqFpGunlmUtCiPPZkqcouIdQtvo+MfH0XQlAcf6Vup5XiGYQLcZAQY+jq+7nDvkCeA0PM3nZMlqI1xtf3u1sIFDf61mAka7y7m6n56V4JMTrnZ0u50VfV/1zs6+rXNoYnynU/dztQopHbSaVzuD31XfJGpQHDPq8buk8EmIVpmnizJxBD+6o+7ldXbswlB0jdqzu5xai0U1myl0//e6eup/b53XjL/mZK8hcVyFe79R8+WHktnD9l6hs73YDJqOLsiW4EK83Pl3Oi4He+ufmlp7yyprxGcnNWpHiURsxDKO8HbhFA6t9Xo8Uj4RYRTabwZOfRHXsrvu5NZuDvGsILXGy7ucWotGNJ6cBGPT31f3cdrudDjPAgiFbxwjxemdi5c6CciGnvkJ+D0FbgfFE/ZflCNHopubLXYHD/fXdZAJguK98zqloqe7nbhdSPGojmWwO0zTx13lYdoXP6yGVyVLe9EAIUZGefRWNEo7ufZacv+TfjiN92pJzC9HIprOzaKbGQKDXkvOHbSGSZoqiIU9RhTjXRFzHqXQGQvW/ptU0jW5nkel03U8tRMObXQCnvUhXZ/2LR90hJw5biblY3U/dNqR41EZS6QwAfos6j/xeD7quky/IRbAQ58rPvQyAu/cKS85vduzClZvAKMkacSHONVtYwKd7CfosmMrL8qwlBdGCXAkLca7JlEnIXsDldFpy/l6PwVzOZsm5hWhkC3GNoK9Q9/m6UC7sBrx5FuL1P3e7kOJRG0mly0vGrCoeyY5rQqxOn38VAO/y8Op607r2oqGTmX3VkvML0ajm9RhBM4DNZs1NYp87AsBUbs6S8wvRqOayGj1u63ZUGvBDWreTzEs3vRDnWkrZCQetWzYWCpRYTNV3V/F2IsWjNpLKZLDbbbic9R9gBucWjzKWnF+IRmUuHadoD6F567+jE4ArcgCA3OxLlpxfiEa1ZMYJayHLzj/gLc9amkhPWxaDEI3GME1iBTt9PusKN0Md5YJyZfaSEALyBZ10zkmk07oYujtNUlknpZJhXRAtTIpHbSSVzuL3ei1pI4Ry8UgpRTItnUdCnMueOk3BN2LZ+T3LHU+F+Vcsi0GIRpPRs+RUnogjbFkMWwIRNFNjannXNyEEzCRLlEyNwaB1tzEj4fJyuZPRnGUxCNFoxmfygKKvy7plY71hhWlqTM/LmJRakOJRG0mlM/h91gzLhvI6VK/HTSolnUdCVJimiSs7ihncaVkM3o4e8vYwRuyoZTEI0Wgm0jMA9Lt6LIsh6PfjL/mYyUcti0GIRnNyrlyw2dppTSc9wM5IeZe3M4tygypExfhMOR8Ge63LzYHlc49O5i2LoZVJ8ahN6LpBJpuzbN5RRcDnXRncLYSAzNIUTj2OCu2xLAalFHnPNmzJk5bFIESjOZucAmDAa81OawBOh4OgGWC+tGhZDEI0mjML5ZvCke767+ZU0RX0EtAKjMetm7skRKOZnCvPOhreYl1ubh8on3t81rq5S61MikdtIp2tDMu2rvMIwO8vF49MUwYMCgGQmX4RAGdkv6VxGMGdONNnJDeFWDaVKXcebQ1usTSOkNbJohm3NAYhGslYvITCZHvEumtam02j21VkKi27OglRMbMADluJbgu7Anu6nDhsJaajcj1bC1I8ahOVbh+/1/rOI90wyOZkjbgQAIXoy8Brc4cs07kbu55ET8lsFSEAZvLzOAwHPX5rBtlX9Di6yKs86ZJ07QoBMJUy6bQX8Vi0AUxFn8dgLmvNToxCNKLooo1Ofx5Ns67EoGkaHf480SXJzVqQ4lGbSKcrnUfWFo8q50/K3CMhANAXjmEoB57IbkvjcHTvAyA9/bylcQjRKOaLCwRNPzabtRegfe7yzKWJ5U4oIdrdTEaj22X9kpSBgCKl20nmZVcnIQBiSQfdndbnZldHicWktcXlViXFozaRSmdwOuw4LX5KE/B7V+IRQoBKnCDvHkSzWZubnr6DAORmX7I0DiEaRcyM06k6rQ6DQV955tLY8gwmIdqZYZrM5hwM+a0v2Ax3lgvLp+alm16IZFonV3DS22X9crG+sEkm7ySVkZlk1Wa3OgBRH+kfP07oxec5+/SjVodC6Owk8cztsG3I6lCEsJwzdZJCwLph2RX+3t0klZPSwqtWhyKE5XJ6niUV54DN+tzcGhiAeZhMy5JSIcYXixRMGyOd1s8a2tFVHsx7Mprj6gFrO/uFsNqZiTzgYCBifW/KQE+5sDs6meOKXT6Lo2ktUjxqA0axiP1//zVaLsu82211OHgzWQqnjmPeczdKWf/lL4RVivFx3PkJcjv+jdWh4HA4ybqHUXHZcU2I4/EzmMpkh2fY6lDoCYRxGg5m8lGrQxHCci/NlMcw7Ik4LY4EdvZ4gDyji9Yv0xHCamemCoCDkQHrc3Nrf7mbf3SqyBW7LA6mxUjxqA3MHzmClkri+70/4MC/+kmrw+HJv/g05t9+jvSLL+I/eNDqcISwTObUdwCwD73N2kCWFf278S89jmmaUtgVbe3V5SLq3uAOiyNZHv5pBJkrzVsdihCWOx4tAE4O9Fu7ezBA2O/Cb0sxkbB+CZ0QVpucM1DKYNuA9Y0K2wbdgMnknCxbqzbr+8pEzc39873owSCht77F6lAA8N/+dgyHg7l/vtfqUISwVOHsEYpaAN/gjVaHAkCp52YcxRj6witWhyKEpU5lxnDpToY7tlgdCgB9Wg8z5hymaf0sCSGsdGrRIGjLEwlaXzxSShFxFZlKWx2JENabWVAEPTlcFs/XBfC6HfjdeWZj8iC02qR41OIKc3NkHn+M9PU30dHRYXU4AAR7ImQPXkPsWw+gZ2Rwtmhf2swPWPRdjT/gtzoUALTBtwGQP/NdawMRwmLjxSm69S7cLuvb7wG2OQfJaXnmCtJ9JNrbWFKj3120dCvwcw36DKayTinsira3ELcT7ihaHcaKcLDAQlwWWVVbY/zNK2pm/r77wDDI3XQzXo/1bYQAfp+X9I1vxMhkiD34oNXhCGEJI34Ge2aCdMf12C3eCrzC27uXrKOfwujDVocihGUKRpGoOU+/6m2Y5Zs7fdsAeHnxhLWBCGGhkmEym7czHGicZWLbOxU5w8ZUQuYeifZVLBokMy56w41TRI10GsTTLnS9cf6+aAVSPGphpmkSPXwYY88+PNu2NcxFsN/noTCyA7VlgPnDh60ORwhLlMaOAKD33mJxJK8J+LzEvFfD9A8wDVknLtrT2ewEhjLZ6hq0OpQVuzpG0EyN48kzVocihGVGF0vopsb2zsa5fdkbKS/ReXEqa3EkQlhndDqPiWIg0hj3mgD93Qrd0Jiel8JuNTXO376i6pJPPUV+bIzMTW8k6G+cbQptNht+vw/9zW8h+fTTZEdHrQ5JiLorjh0hbw/h7LnS6lBWeD1uEoHr0IpxjOjzVocjhCWOJU8DsGu526cRdAU66Cx2cDo3ZnUoQljm5ZWd1qyfqVJxxZby7KVX5goWRyKEdUYn8gBs29IYS70Btm4p/z1xakwKu9UkxaMWFj18GM3vJ77nAAG/1+pwzhP0+0hefQPYbNJ9JNqOaZqUxo6w6L2aQKBxCrtKKYq9bwKgNCZL10R7OpY8jdNwMhzotzqUFQ6HnR6jmwl9WmariLZ1LFpAYbK31/ph2RW9HV46bXlOxqRbV7Sv8dnyf//bhxonN3dtLcdyZkpys5qkeNSiSokEiw8+SOCOOzCdTgIN1HkEEAz4SNoddLz5zczfdx9mSVoKRfswYscgM8Oi95qG6goE8Ia3knFtXVlWJ0S7Gc1N0FUIEWyQQfYVQ/Yt5MgzK0OzRZs6tWgQsufpCjbO96amaWzxFDiblFsq0b6m58HjyhP0N05XYLjDgceZZzJqdSStRf6ma1ELDzyAkcthv/3tAA13gxpc7rbwvfvdFOfnWfr+9y2OSIj6KY0/AsCi75qGK+x2BPwseK+mNPkDTF3a8EV7KRpFpvU5uvQuPG6X1eGcZ4dnKwAn0jL3SLSn8k5rBWy2xrp92RY0mcs7yJekK1C0p+iSnXCgsa4ZlVJ0dRSYi8mOa9XUWH/7iqqJHj6MZ/duMv2DKKXweRunjRAg6C8/0dWvvBpHdzdRWbom2khp/AhFVx+mfysOR2N9qQUDPha910AxjT7zpNXhCFFXZ3OTGBgM2voaZpOJih3BYTRT42jilNWhCFF3uZLJfN7OsL/xdk7aGdIwUZyYb6ybZyHqoVQyWEy66e9qvOVhfV06SykXpVLj/b3RrKR41IIyR4+SefllIvfcQzKVJuDzommN9av2+zwopUhmsnTffTdL3/8+haj0FYrWZ5oG+tgjxAPXEQw21rIYqBSPDmKiZOmaaDunMuWB1CPuYYsjuVA42EGo2MnJ9FmrQxGi7k4tFDFR7Ag11vUswP7ecpfii9M5iyMRov5GpwoYpsZQX2M9cAEY6tUwTI2z01LYrZbG+xtYbFr08GGU00n3e99LPJGiowFvUDVNI+D3kkim6T50CHSd+fvuszosIWrOmH8JM7fAnOtKOgIBq8O5gMvpRPN0UwjspTQuxSPRXo6nzuA0nGwLDlgdygUCfh9dxTBjxSkMU56iivby8ky5MLO3t7GWkwLs7vViVwZHo0WrQxGi7k6MlXda2znUODutVWwfLM9gOjkmhd1qkeJRizHyeea//nVCt9+O4fORzeUbbuhnRdDvJ5FK49m2jcB11zH/1a/KLjKi5VW6eWKeq+hooKGfFUopggEfS4Hr0acexSzKFqeifZxMjxIuhhryoYvdZqNf9ZInz0xeOnVFezkWLWDDYG9vY+0eDBDweehxZDm1JEVd0X5Gp3SUMtg53FgjUoDlmEzOTktuVosUj1rM4sMPoycSRO65h0QyBdCQF8FQXh6TyeYoFkt0HzpEbnSU1DPPWB2WEDVVGjuC7h8h7+hpyM4jKOfmnPMK0AvoU49aHY4QdVE0SkwVZwgXGrN4BLDNNQjAyawsXRPt5fSSQbcjR0egMR+6DHpLjKfs8hBUtJ2pqKLDm8PraZyd1ir8XgcBb46paOMtqWtWUjxqMdHDh3EODBC86SbiieXiUaN2Hi1fACRTacJ33onm8xG9916LoxKidkyjRGniX8iGb0QpRcDfeE9QodwVuODcD5qd0tjDVocjRF2M5abQMeglgsvZeO33ACP+YWymjRMp2XFNtJfxlI0t3lLDDbKvGOmAtG5jISvFI9Fe5hadREKNu2Szu6PA3FJjbU7TzKR41ELyk5MkHnuMyPvfj9I04skUTqcDt6sxL4IrRa14MoXN66Xr3e8m9p3vUEomLY5MiNrQ556FQoKY91qCfl/DDbKvCAZ86DYvetc1MvdItI3Ty908jTgsuyIcCBAqdnIiLcUj0T6SeYOlop1tQasjWdvubhsAL8/kLY5EiPqJJ0tk8k4Gexq3aLql2yCZcZHNNd5ucM2oMe9cxIZEv/pVUIru978foDwsO+Bv2Kc0Xo8bu93G0nKHVOTQIYxcjti3vmVxZELUhr4872jGtnel864RVQq7mdBN6DNPYubjFkckRO2dTJ/FYTjY6u+3OpQ1dQT9dBXCjOYm0GVotmgTr84uD+TtatzugSv7y53EL83InEDRPo6NlgdRb9tisziStQ332wHFCRmaXRVSPGoRpq4z/9Wv0nHzzbi2bME0TRLJdMMuWYPyGvHOYIB4otxp5LvySjy7dsnSNdGySuOPoML7SRp+OoKNOe8IwOGw4/d6iHmvBtOgNPEDq0MSouZOLA/L7uxo3Nz0+7xE9C4KFJnKz1gdjhB18cpsuSBzoNdtcSRrG+z2E7QVOD4v3Q2ifZyeKACwe2vj5ubureUdGiu7wonNqWnxSCn1TqXUMaXUSaXUxy/yuXuUUqZS6vpaxtPK4o8+SmFmhsg99wCQSmfQDaNhh35WlItHKQzDQClF5NAh0i+9ROb4catDa2mSm/Vn6gVKEz+g2PMmgIYc+nmujo4A02wHm0uWrtWR5KY1ikaJ8fxUeae1Bn/oss01BMCpzJjF0bQXyU3rHJ8v4VQ6O/sa93vT6XDQ78pzJmF1JO1HctM6Y7PgtBfZ0tO4xaORAQ92W4kzk427tK6Z1Kx4pJSyAZ8F3gXsBz6slNq/yucCwL8HflyrWNpB9PBh7J2ddN56K1CeIwSNOyy7orPDj24YpNIZALre9z6U3S7dRzUkuWkNffoJKGVIdZSvWRq58wjKhd103kTrv5nSmBSP6kFy0zoTuWl0dLpLYfy+xhxkXzHiH8Ru2DmZGbU6lLYhuWmt0bhJjzOPu0EH2VdsDRrMZB0UdblJrRfJTWvNLNjo6sg17AxPAJtNI9KRYyrauMtem0ktf9M3AidN0zxtmmYB+DJw9yqf+y/AnwKyEHGDirEYS0eO0PW+96Etf7EuxVMNvZtTRefyDXRl7pEjFCJ0++3Mf/3rGIWClaG1MslNC5TGHwEUC+4rcDmdDTvIvqKSm4XIzRjR5zEy8xZH1BYkNy1yanlY9lbHYENfBAOEOzsIF0Mclx3X6kly00KTGTuD/sZfDrYrbMNAcXK+cXeeakGSmxYplQxiCRf94cbPzS2REgsJN8WSzArcrFpeIQ0A4+f8eWL5tRVKqWuBIdM0v1nDOFrewte/jlkqrSxZA1iKJ+gI+LHZGneAGZTnN9g0jaX4azusRe65Bz0eZ/GIdDvUiOSmBUrjR9B6rmEhoxHqbOyuIyh3BQIkguVOKX3iexZG0zYkNy1yKnMWh2FnW2Dg0h+2WGcwQLgY4mxuEt1s/Iv2FiG5aZHZRJG0bmdHZ2MXdQEO9JWX7jw/lbY4krYiuWmRk2M5dMPG9qHGz83tAxqGqXFShmZvmmW/baWUBvwF8B8u47M/r5R6Sin1VDQarX1wTcQ0TaKHD+M7eBDvrl0rry3Gkw099LNC0zSCQT9LideKR8E3vhFnf78sXbOI5Gb1mcUs+tSjaINvJZnKEOpo4P2Gl7mcTjxuF1E1As4ApbGHrQ6p7Ulu1s6J1CihYohQqMPqUC4p4PfSXeqiSJGJnAzNbgSSm7Xz3ES5M31fj8viSC5t/xY/NgyORqXzqFFIbtbOK6fLA6j3bW/83NyzrRzjsVEZmr1ZtSweTQJD5/x5cPm1igBwBfA9pdQo8Abg/tWGmJmm+TnTNK83TfP6SCRSw5CbT/rFF8mePEnk0KHXXstkKZZKhDob/wYVyk9RlxJJTLO8RlxpGt0f+ACJxx4jPzVlcXQtSXKzzvTpx0AvkA2/AYBQExR2ATo7AsRTWeyDb5G5R/UhuWmBkqkzlp+iqxhqitzUNI2tzvKDdZl7VDeSmxZ5ZqoAmFy/tbFneAL4PS56nHlOL8rMozqS3LTIqQkTh63EjkGP1aFc0vbB8tDs0xOSm5tVy+LRk8AupdSIUsoJ/Cvg/sqbpmnGTdPsNk1zm2ma24DHgbtM03yqhjG1nOi996J5PHS9610rry0uLwFrhotgKN+glko66Ux25bXIBz4AwPzXvmZRVC1NcrPOSmNHQNlYcl8BQGcTdB5BubCbTGfQBt6KsXgcIzlhdUitTnLTAuO5KUqU6Cp1EfQ37m5O59rmH8Rh2DmVOWt1KO1CctMiLy9ArzNPd6DxuxsAhv0lxtMymLeOJDctMhm1E+nMNvyIFACHw0ZXMMtktPFjbXQ1Kx6ZplkCfgX4DvAq8H9N03xZKfWHSqm7anXedqKn0yw88ADhd7wDm/+1JzKL8UR5OViTXASvDM0+Z+6Ra8sWgm98I9GvfhXTkOFm1SS5WX+lsSPY+m4gljHwuF0NPyy7opKb6VC5Y6o89FvUiuSmNU4vb3k/4mr8YdkVoc4g4WKYE+lRq0NpC5Kb1tANkzMpB7uCzbMMbEdII6nbmUs2T8zNTHLTGvmCQSzpYqi3eebubenWWUi4KcnQ7E2paWncNM0HgAde99rvr/HZt9UyllYUe/BBjEzmvCVrUC7CdAb9TXMR3BHwoWkasaUEg1t6V16PHDrEqd/6LRKPP07HzTdbGGHrkdysH7OQRJ99EtcN/5HFeLIp5h1VVJa+xrQh+txhSmNHcO7/KYujam2Sm/VXGZY9Ehi69IcbRLgzSHgsxIncKUqmjl3J09Rak9ysv6NzBfKGjSt7muN6FuBgv4svnYLHR1PcdWXI6nDaguRm/b16OotpOtnZBMOyK7YPKp49oXFyPMfekcbejbyRNc9vXFwgeu+9uEdG8F977cprrw3Lbp4bVE3TCHUEiC3Fz3s9dPvt2Do6iB4+bFFkQmxeafKHYJQwt7yFdCbbNMtJAdwuJz6vm1g8iW3oVkpjR1ZmkwnRKlaGZTfJnECAoN9HpNRNiRLjWZkNKFrT42czANww6LY4kst347YANgyemixYHYoQNXP0TPm/7/07mic3942UZzO9clp2XNsMKR41qezp06SefZbIBz6AUmrl9WQqg67rTXWDChAOdbCUSKLrr7USak4n3e97H4sPPURxacm64ITYhNLYEbA5SXrL846a6QYVINzZQWwxjn34NszkGEb8tNUhCVE1uqkzlp8k3GTFI03T2O4pd0qdzMrcI9GaXpgt4tOK7Olv/GHZFUGPkyF3lpcW1KU/LESTOj1p4nYWGOprng6encMeHPYSJ8fkIehmSPGoSUUPHwabja67zl/OW+neCTfRRTCU4zUMk3gied7rkUOHMItFFr7xDYsiE2JzSmNHsPW/kYVk+SlNZ7MVdjs7yOULlHpuAUCXXddEC5nIzVCkRETvIuBrnotggJHgEA7Dwcn0GatDEaImXl20sc2bxeVsjjmBFfvCOhMZJ+mCzFYRrWlq3kFvKHdeA0Ojs9k0+sJZxmYdVofS1KR41ISMYpH5+++n861vxfm6rSQXFuM4HQ78TXYRHO7sACC2lDjvde+ePfgOHCB6772yXEY0HTO3iDH3LPbh21hYjBP0+3A6mutLq1KIXqQX5d9CaexhiyMSonoqu5Vt92xtqotggK5wB13FMMdTUjwSrWcupRMr2Nkfbr5rv2v67BgonhzPXvrDQjSZRKpIPO1ma3/zFUdHtujE0x6WkiWrQ2laUjxqQvHvf5/SwgKRe+654L2FxTjhUEfTXQR73C48btcFc48AIvfcQ/b4cdIvv2xBZEJsXGn8XwAT2+DbiC3F6Qp1WB3SunUsD9+PLSWwD90mc49ESzmZHsVu2NnZOWx1KOsW7uygqxBiojBN0ZCdnURr+fFYed7RtVuaq+sI4A1bfShMfjwmxSPRep49Ws7NvSPN9TAUYN9Iea+w549lLI6keUnxqAlF770XRyRC5y23nPd6Pl8glc405Q0qlOceLSxeWDwKv/vdaG438zI4WzSZ0vgRsHvI+K+gVNLpCjdfbp470N4+fBtmNoqxIIVc0RqOJ88QKnYSCTffrkhul5N+1YuOwVhOhmaL1vLURB67Mrh+a/PMO6roC/vpc2Z5YU4etIjW88qpEkoZXLPXZ3Uo63Zwjw+lDF45LZ1HGyXFoyZTmJtj6Qc/oPv970fZ7ee9t7DctdOsxaOuzg6yuTzZXP681+2BAKE772Thm99Ez8pTHNE8SuOPYB94M/OJ8hOOrlCntQFtULizPNBeDbwNWB4CLkST002D8eI0XaXwytLpZrPLPwLAycyotYEIUWUvzZsMODN0BprvBlXTNHYHCpxK2inoUkASreX0pI3uYAa/t/k6j4I+J+FAltEpKYFslPybazLz990HhkHkAx+44L2FxTiapppup7WK8HLRa2Fx6YL3IocOoadSLD74YJ2jEmJjjPQsxvxL2IZuJbYYx+1y4vU0z5am5wqHOjAMk4QZQuvYLsUj0RImczMUKTJo68dut1kdzoaMdAzi0p0cS8guiKJ15Eom42kHuzv1phvDUHGwV6Nkarw4U7A6FCGqJl8wmFvysLW/eTt3hnoKzC66KZaab2ZTI5DiURMxTZPovfcSuOEG3Fu3XvD+wmKczmAAm605L4I7g37sNhvRhaUL3gtcfz2u4eHyLnNCNIHS+PcAVoZldzXhLLKK7nAnANHYErbh2yhNfA/T0K0NSohNqnTr7PJvszSOzejpDhEuhjmRHrU6FCGq5tnJHAaKq3ub83oW4I1byxvXPDqatjgSIarnhRMZDFNj30jzlhD2brOhGzZeOS2rWTaieX/zbSj55JPkx8eJHDp0wXu6rrMUTzTtshgot/l2hTuYjy1e8J5SisihQySfeorc2bMWRCfE+ujjj4AzSKHjAJlsrqlz0+V00BHwM7+wiH34dsjH0eeetTosITbl1aVT2Awbe8IjVoeyYQG/j4jRzbQ+R96QDgfRGirDsm/c2nxL1iq293XQbc/y7LQ8aBGt48UTRcDk6j3Ntav3ua7eW479xeP5S3xSrEaKR00kevgwNr+f0B13XPBebCmBYZgrHQLNqjscIpnKkMtfeBHcfffdoGnSfSSaQmn8CPbBtzC/mASgq9lzs6uzvDR24K0A6LJ0TTS5U5lRwqVOIuGw1aFsmFKKHe4hDAxGMxNWhyNEVTw/q9NtzzIcCVodyobZ7XZ2Bgocj9vQDZl7JFrDyXFFpy9LJNycYxgABno9+N05jo9ZHUlzkuJRkyglEsQefJCu97wHm8dzwftz8zGUUk1fPIp0dQKs2n3k7Omh881vZv6++zBLzbvWVrQ+IzmBsXgC+/BtzM3HcDrsdAabb8eYc3WHQ+iGQbzoQes6QGnsYatDEmLDdNNgsjRDn9mLx+2yOpxN2d+5C4BXEyctjkSIzTNMkxNxOzuDRWy25r5NOdijkTNsHI1KV6BofqWSwfS8m+G+QtOOYajY1p9nYs5DSeYerVtz/63cRhYeeAAzn6d7lSVrANGFRUIdARwO+6rvN4vOYGDNuUcAkXvuoRiNsvSDH9Q3MCHWoTT+CAC2oVuJLizS3RVq+i/ac+ce2YdvozT5A0xdLohFc5rITFNUJbZ7h60OZdN2dg/j1l0cjZ+yOhQhNu3YXI6cYeNgb3NfzwK8cWv5Ye+jZ2TukWh+L5/MUDJsTT3vqOLADkVRt/PyKZl7tF7N/9tvE9HDh/Hs3o3vwIEL3isWSyzGk0S6QhZEVl0Xm3sE0PGWt+Do6pKla6KhlcaOoNxdZL07yeby9LRAbp4392joNihl0ad/bHVYQmzICwvHADgQ2mVxJJsXDPjp1rs4kx+3OhQhNu3R0yngtYHTzWzfQAcdtjxPT0u3vGh+T79anhF0/YHm7qQHuOFA+e+XZ16Vh6DrJcWjJpA5epTMyy8T+eAHV+1emI8tYZomPd3NO7fhXJW5R9nchYPMNIeD7rvvZulf/oVCNGpBdEJcnGmalMaOYBt6G9GFOACRrhbJzeW5R2rLLYCiJHOPRJM6ligPyz7Qs9PqUDZNKcWwY4B5M0ZOlwGgork9M13CqxU5MBCwOpRNs9vt7PDnObpowzRl7pFobkfP2gj5M/R1N/dSb4Debg8hf5pjZ5t7VYAVpHjUBKKHD6OcTrrf857V319YRNM0wp3NO1jwXJUi2Nx8bNX3uw8dAl1n4f776xmWEJfFjJ/BTI5hH76N6MIiHrcLv+/COWXNqKcrjG4YxLIatt5rKY1L8Ug0p+OF0/SaETzO5h36ea69ge2YyuTl2AmrQxFiw0qGyQuLTq7oLKBprXGLclWvRkq3c3JeOhxE80pndGZiHnYOtc5/x9sHCkwveMjmZEfE9WiNv5lbmJHPM//1rxO6/XbsnZ2rfmZuIUZXqAObzVbf4GqkM+jH5XQyG11Y9X3PyAj+a68leviwPMkRDafSjWMbfBvRhUUiLTDvqCLSFULTFDPRBWxDt6FPPYZZzFgdlhDrcio1xrwW4xrXFVaHUjXX9V6JMhWPR5+1OhQhNuyJsxmyhp03DbbO7cmbtpWX+PzgVNLiSITYuCdezmCaGlfvbo17TYCrdtsxTI2nX5GZZOvROn87t6jFhx9GTySI3HPPqu9nsjkSyTS9kdZYFgPlFvzeSJi5+diaxaHIoUPkRkdJPfNMnaMT4uJK40dQvj4Sti0UikV6W2Q5KYDdbqM73MlsdAH71tvBKFKa/JHVYQmxLg9O/wBlKt7W8warQ6ma/kCEAb2fp/LPy0MV0bS+czyDDYM79jT/krWKg0MBArYij03I3CPRvJ49WsSm6Vx/Revk5g1XBNCUwbNHi1aH0lSkeNTgovfei3NggOBNN636/sxcuTunr6e7nmHVXF+ki0KxRGwpser74Xe8A83nk8HZoqGYpklp/BHsQ7cxHS0vu+yNdFkcVXX1dneRTGUohK8DzY4+9rDVIQlx2QzT4MfpZ9lS6Geke8DqcKrqRvdVxFWSlxPHrA5FiHUzTZMfzyh2eDP0dPqsDqdqNE3j2nCOl5ZcZIuyLbhoTifGnQx0p/G6HVaHUjV+r4PecIbj463zv6kepHjUwPITEyQef5zI+9+PWmPt90x0Hq/HTcDX/LtSnKsy92itpWs2r5eud72L2He+g55K1TM0IdZkxI5ipmewD93KzNw8XaEOnM7W+lLq7SkXw2aX8tj63yBzj0RTeTV1kgRJrnVe0TIzVSre0nMTNsPGd2Z/aHUoQqzbyYUi8wUHN/W1XoHl1hEHRVPju8flelU0n9HJHKmsi/3bW6+r9cB2naWUh/EZ2WzicrXWlVOLiX71q6AU3e9//6rv67pOdH6R/p7ulpmpUuF0Ogh3BtcsHgFE7rkHI5tl4VvfqmNkQqytMu+o1Psm4okUfT2t1XUEEPB58bhd5aVrQ7ehzz6NmVuyOiwhLstDsz/Cbti5JXK91aFU3UBXL1vzQzydeYGiIW34ork8cLQ8E+jO3a3TdVTxtt2deFSJh07lrA5FiHV77PnyTKA3HGyNzV/OdfNV5U0zfviMzO+8XFI8alCmrjP/ta/RcfPNuLZsWfUz0YVFdMNoyRtUgL6eLhbjSbK51avBviuvxLNzpyxdEw2jNP4IKriV2Vx5TXirLSeF8kyyvp5u5uYX0QbfCqZBaeL7VoclxCUVjRJPpJ5jMDfAcKTf6nCqzmbTuNZ5JTnyPBV/0epwhFiXH40bbHGm2TPQaXUoVef3uDgQTPNM1E5Rb73uDdHanj9hI+jNsn2wtVa5AOwc9tHhzfD8idZqwqglKR41qPijj1KYmVlzUDbA9NwCNlt5gG0r2tIbAWB6Nrrq+0opIocOkX7hBTInZHtiYS3TNNDHHykvWYvG8LhdBP2t9wQVyrmp6zrzjt1gd8vSNdEUnk2+RJYcB7V9uFxOq8OpiTf0XI1bd/NQVJauieYRTeucSTm4trvYcstJK946rJEzbPzgjHQ4iOaxmCgxNe9l37Z8y61ygfK95J6teabmvSwlZaj95WjNv6FbQPTwYeydnXTeeuuq75umyfRslN7uMDZb62ybeK6A34ff52VqZvXiEUDXXXeh7Hai995bx8iEuJARfQEzF0MNvJXZ+Rj9vZGW/KIFiHR14nDYmYomsG+5ZWW5nhCN7Mj8Y7h0Fzd2X2V1KDUz2NvLSHYrL2ReJVmS+SqiOXznaAoTxW3bXVaHUjN37uvEqXS+fVyKR6J5/MtT5dy8+arWmt95rjccdGKi+OEz8p15OaR41ICKsRhLR47QddddaM7Vn44uLMbJ5QsM9PfUObr6UUqxpS9CNLZEvrD6/AZHKETnbbex8PWvYxQKdY5QiNeUxh8BYMFzFYZhMNgfsTii2tE0jf6ebqZn59GGbsWYfxEjM2d1WEKsKaNneSb5EtuyQwz391kdTs04nQ6uc16JjsEPF5+yOhwhLssjZ/J02vLctCNsdSg109XhZ68/zY9nbOiGLF0TzeGpV0x87hxX7QlYHUrNXLM3gNtZ4OlXW29Yfy1I8agBLXz965il0kWXrE1Mzy3fwLXmvKOKgb7ISpfVWiKHDlFaWmLpkUfqGJkQ5yuNHUEL7WYibsflctIV6rQ6pJra0hehWCqRDJYHD5fGv2dpPEJczONLz1KixBXaPvwttjvp613Vs4/OYgdH5h+1OhQhLilTMHh5ycFVoTyuNR6Ytoq3DCnSuo0nxmVwtmh8yXSJ8Tkve4ZzLbvKBcBut7FzMMvojJdMVrc6nIYnxaMGY5om0cOH8R08iHfnzjU/MzUzR1+kC7vdXucI66szGMDrcV906VrHzTfj7OuTpWvCMqZRojTxL2gDb2UmusBAX0/LLlmr6O0OY7fZmChuAWcQfexhq0MSYk3fW3gMf8nPdT0HrA6l5gb6I4xkt3Iqf5bpvHQEisb20PEkJVPj1u2tXTgCeMfeIHYMHjgqy2NE4/v+00kMU2vpJWsVNx+0UdJtfP9pyc1LkeJRg0m/+CLZkyeJHDq05mcWFpdafslaRWXp2ux8jMIaS9eUzUb3+99P/NFHyU9N1TlCIUCffQYKSRId17f8krUKm81GX08XU3OL2AbfInOPRMOKFeO8nDnBSHaYwf5eq8OpObfLxTWOK8CEf4k9bnU4QlzUw6eyuFWJ2/aGrA6l5vrCAXb5Ujw6rWGYsnRNNLYnXjJxOwtct791l6xVvOFgEI+zwKMvyNK1S5HiUYOJ/vM/o3k8dL3rXWt+ZnyqPZasVQwP9GGaJhPTs2t+JvKBD4BpMv+1r9UvMCGWVQon4+autliyVjE80EehWCQTuglj6SRGYszqkIS4wI8Wn8TE5Mo2WLJWcWBgJ32FXr638Dim3KSKBpUvGTwz7+CKzhzeFt0B8VxKKd4ypBEv2nlmImt1OEKsaSlR4syMj/3bMtjtrbtkrcLhsLF/W4bRGS9LidWbFUSZFI8aiJ5Os/CtbxF+xzuw+f2rf0bXmZiaZaAv0vJL1io6An6CAR9jkzNrfsY1OEjwDW8g+rWvYRpSNRb1pY8fQYUPMLkEw1v6Wn7JWkVPdxiX08Gk2ge8NjRciEbyyMJjhAshrt6yz+pQ6magv4cd2W3MlRY4ljltdThCrOqrL8TJGnbet7v1C0cV77sihIbJN15JWh2KEGv6zqNJTFPj7Te2T26+7QYXpqnx3cdl6drFSPGogcQefBAjk7nokrXpuXmKpRLDA/11jMxaSimGB/qILSVIpdfe4jRy6BCFyUkSP/5xHaMT7c4s5SlN/pB06EZM02TrYOvu5PR6mqYxtKWPs5lOcHfL0jXRcCZzM4zmJxjJbWNwS+svWatwOhzcELwam2njewuPWR2OEKv66rEiYXueO/e3/pK1ir6Ql53+LD+a1tDlYadoUI+/pBHyZ7hid9DqUOrm4G4/QW+WJ15ujwfAGyXFowYSvfde3CMj+K+9ds3PnJ2YxuN20dPdPl+0AENbyjfkF+s+Cr397diCQRmcLepKn3kCSlmmtH2EOgIEA6t3Dbaq4YE+DFOR734DpbEjskRGNJR/if0YZSpu9F2Fuw2WxZxr18AwQ9kBfrj4FEVD2vBFY3l1Ls+plIvbB/I42qSTvuLd2zUWi06+e1y6j0TjOXE2y3zcy/X7Cm3TSQ/lB6JX784zE/MxNp23OpyGJcWjBpE9fZrUs88S+cAH1kzUbC7PbDTG8ED7LIupKBfMwpydmF7z5lRzueh+3/tYfPhhSktL9Q1QtK3S2BFMFJNqN8OD7dMRWNER9BP0+5hxHMBMTWAsnbQ6JCGA8s6k31t4nN5CDwcGV9+9tJX1RsLsKe4kY2Z5OvGS1eEIcZ5/eCaBDYOfvKp9OhsqDl0dImAr8I8vyA2qaDzfeTSDUgZ33tz6g7Jf7503+1CYfOP7aatDaVhSPGoQ0cOHwWaj66671vzM2YlpALa24Q0qwMjwFrK5PNNz82t+JnLoEGahwPw3v1nHyEQ7K40foRDcj+HoYKiNlsVUKKUYGR54be6RLF0TDeJ45gzzeoxdhe30Rdpjg4lzaZrGG3quxa27OTL/qNXhCLEiUzT53qSNg8Ek23rar3jkdTm5tS/Hy3EXJxcKVocjxIp8Qef5Ex6Ge1L0dbutDqfuhvq9bO1L8MwxN4WiLCtdjRSPGoBRLDJ///2E3vY2nJHVt/g2DIPTY5P0dIXaZreY1+vv6cbtdnH67OSan/Hu3Yv3wAHm771Xls+ImjOLGfSpx5l1Xslgfw9Oh8PqkCwxPNBHwbOVoqsPfexhq8MRAoAj0UexmTbeHLkRTWvPy52dWwfZlh3m2dRLJEvyJFU0hsMvJsgbNt6/x9F2nfQVH7k2iA2Dzz8ZtzoUIVY8+FiSXNHB229qz+9MgNtvtJEvOvjuYwmrQ2lI7ftfRgOJf//7lBYW6L7IoOyp2XlyuTw7tg3VMbLGomkaI0NbmJuPXXJwdubYMTKvvFLH6EQ70qceBaNAzHOQHdsGrQ7HMg6HneHBfubdBymOPYJpytMaYa2SqfPo0tMM5rawf+t2q8OxjM/r4Qb31egY/HDxSavDEQLTNLn31QI9jix3HOi2OhzLbO8NcnVHkiMTNpJ5+c4UjeGRJxVBb5Y3X9t+HYEVt1wTxO/J8b2nrI6kMUnxqAFE770XRyRC5y23rPmZU6PjeD1u+nrar/X+XNuGtqCUumj3Ude7341yuWRwtqi54tjDGNhQ/TcT6mjfL1qA7cMDxLxXQ24eY17mqwhrPRt/mTQZrnVdidfTfq3353rD8FV0FIM8NPdDq0MRguemcoxnnNwxVGzbbl0oL/n+yf1OCqaNLz8n3UfCes8fTRONe7n5yjw2m83qcCxjt9u46UCOmUUfr55eu1mhXdW0eKSUeqdS6phS6qRS6uOrvP+bSqlXlFIvKKUeVkptrWU8jagwO8vSD35A9/vfj1pjt4mlRJKFxTg7tg62bXtvhcftYqAvwujEFMViadXP2INBwnfeycIDD2DkcnWOsDlIblZH7vRDJDx7Gdmx1+pQLNcR9KMG3gJA8awsXdsoyc3q+PbU93EaTu7YerPVoViuL9LF3tIuzhTHmc7NWR1O05LcrI4vPpPEoXT+9XVhq0Ox3Fv3RRh0pTl8TMeQUQsbJrlZHd/4QR67rcR739ppdSiWe99bg9g0na89IveRr1ez4pFSygZ8FngXsB/4sFJq/+s+9ixwvWmaB4F/Bv6sVvE0qvn77gPDIPKBD6z5meOnzmK32dg61J6Dsl9v9/atlEo6p89OrPmZyKFD6Mkkse9+t46RNQfJzeow8wnU/LMkg9cx0Lf6rLJ2M7LvJjKOAVInvmV1KE1JcrM6MqUsL+ZfZac+Qm+4fZfFVCiluLP/zWDCt6a+Z3U4TUlyszpi6RKPzjq4IZyht9NndTiWs9ts3LXdJJp38NDxlNXhNCXJzeqYmM1zbNzHldtTdATatyOwoqvTxcEdSV4962NyVnZFPFctO49uBE6apnnaNM0C8GXg7nM/YJrmI6ZpVvrBHgfaamiIaRhEDx8mcMMNuLeuXgRPpjJMTM+xfetAW7f3nquzI0BvJMzJ0XF0XV/1M4EbbsA1NCRL11YnuVkFsVe/iUInsPtdbTuM9/V6I12kO29AzT6KUZIdZDZAcrMK7ht9iJIqcUfPLW3frVtxcGgPW0p9/CD+pGwmsTGSm1Xwvx5boGRqfPSa9tsCfC0fuj5CwFbgH56T5TEbJLlZBf/0nXLx8ifu9FscSeP44B3lAvf/fVAKu+eq5R3PADB+zp8nll9by8eAVR9XK6V+Xin1lFLqqWg0WsUQrZV86iny4+NELjIo+/jps2iaxs6R4TpG1vh2b99KvlBkdGJ61feVUkQOHSL55JPkzp6tc3QNT3Jzk8x8HP3Rj5O3d7HlqvdZHU7DUErh23cPdj3NwkMXdI6LS5Pc3KSlQpz7kw+ypdTHm4eutzqchmGzabwpcANxleCR6R9bHU4zktzcpGiqyNdHHVzVkeLGkQ6rw2kYPreT2wcKvJJw8/K0FJA2QHJzk2bmC7xw0s+BbQmG+jxWh9Mwhvu97B1O8NxJHwtLRavDaRgN8bhcKfVR4Hrgv632vmmanzNN83rTNK+PrLGVfTOKHj6Mze8ndMcdq76fyWYZm5xhZHgLbpezztE1tu5wJ+FQB8dPnV2z+6j77rtB04h+9at1jq51tGtuXoxpmsS//lEc2QlSb/xrHC5pvT9X73X/mrmu9+J8+VMUTt5vdTgtS3Jzdf/rzD9SpMS/iXxQOgJf5/3b305nqYMvzH6FrC5zHGpFcnN1n/7REkVT45dvkJvT1/vZm7pwKZ0//2HS6lBamuTm6r78nRSmqfiJO7xWh9Jw7nm7B8PQ+PK3E1aH0jBqeWU1CZy7r/zg8mvnUUq9HfgEcJdpmm2zqLCUSBB78EG63vMebJ7Vv0hfOX4GpRS7pOvoAkopDuzeTjaXX3PnNWdvLx1vfjPzX/saZmn14dptSnJzE/JP/XfU2W8w2v+LDF3zfqvDaTiapuG69TMkXDvJPPBT6EunrA6pmUhubsJLyeP8OPssB/MHuH7ogNXhNByP082/CtxFUqX4u9GvWB1Os5Hc3ISzi0W+O2bnplCCa7aFrA6n4WzpdPO+4QwvLLn53kkpIK2T5OYmTEcLPHvcy57hBNuH5GHo6+3Z5mf3UIInXvUxFZVxDFDb4tGTwC6l1IhSygn8K+C8x9BKqWuA/0U5kdtqC5CFBx7AzOfpXmPJ2lIiydjkDDu3Dbb9NsNriXSF6OkOc+zU6Jo7r0UOHaIYjbL0Q9mi+BySmxtUmvg+uR/8Z+YCbybwhv+Iw7H6Dontbmh4G6N7/xu6YZK5/x7MorTiXybJzQ0qGiU+O/r3+Eo+fmr4/dJ1tIbbd76RvbndPJz4ESfTo1aH00wkNzfhz3+wiFLwa28MyhyyNfzSLRE6bXn+4rEcuiFzydZBcnMTvnB/CkzFR94tXUdr+an3eMFUfPHrMvsIalg8Mk2zBPwK8B3gVeD/mqb5slLqD5VSdy1/7L8BfuArSqnnlFJts8Yhevgw3j178B1Y/enoS0dP4XDY2b1DdpO8mCv27KBQLHH89OpzjTrf+lbsXV3MHz5c58gal+TmxhipaTLf+BB51wBnd/we27fJvMW1KKXYdfAWXtryn9GjL5B9+JdkSO9lkNzcuPvmvsusHuXW0pvY1n+xcRftzWaz8dH+D+AyXPzlmS+gm6sv+xbnk9zcuBemcjw66+K2niS7BzqtDqdhBb0ufmpPgamcky89J0tkLpfk5sa9cirDy6N+rt2TYNuAFI/Wsm3Ay9W7Erx0xs/xs1mrw7FcTR+bm6b5APDA6177/XP++e21PH+jSr/6KpmXX2b4d35n1Scws9EF5uZjXLl3p+ywdgmdHQGGtvRy4sw424a24POevwRQczjovusuZr/4RYrz8zi6ZdtmkNxcL1MvkvnGhzBycZ4b/kv27zsonQ2X0Bvp4vjwOxjLH2fry5/H1v9GXFf9f6wOq+FJbq7fXGGBr8x8k6HsAHftuU06Gy5h79A23jL5Bh60fY9vzD3M3b13Wh1SU5Dc3Jg//2ECj2bjV28JWx1Kw/vwjb3cdyrK3z7n4v0HDAIuuc64HJKb62eaJn//jQJOO/zUe2WA/aV89D1BXjyl84Wv5/ivv+xu6+sM+VvJAtHDh1FOJ93vec8F7+m6znMvH8fv9bB9q3Q2XI4r9u5EU4rnXz6+andD5NAhzFKJ+fvlQYPYmNwPfwd98gccG/gPuPqvZrC/x+qQGp5Siqv27+ZU10fIdN1C7pFfozTzpNVhiRb0ubNfwjQM3uN6O91hmadyKZqm8YFddzKQ6+cfp+8nWohZHZJoUQ8fj/Ny3MX7hrP0h2UL8EtxOhz88nU2Urqd//GDBavDES3swUfjTM77uPW6DOEO2ZTpUiJhF2+9Js3YrJ+HHotbHY6lpHhUZ0Y+z8I3vkHo9tuxd3Ze8P6xU2dJZ7JcfcUebDb59VwOj9vFvl0jzEQXmJ6bv/D97dvxX3010cOHZemMWLfiicMUnvrvxIc+zJT/Nq45sKetnzisR0fQz46RrTwZ/k1MTy+Z+z+IkbkwR4XYqCeWnueZ9Etclb6SN++/zupwmkZvpIu7XHdiGAb/79kvynejqLp0Xue/PVag017gl27ptTqcpnHb/h6u70zyjTN2zizIroii+hKpEvcecRAOZPjQO+SBy+X68LtDhPwZvnLEQSrdvhsxSXWizhYfegg9kSByzz0XvJdMpTl++ixDW3rp6Zb23vXYsW2QoN/H8y8fX3V4duSee8idOUPq2WctiE40Kz12nMy3fwaj+zqe9v4bdo4M0RGUp6frsW/XCHZfhFeH/wtmZobsAx/BNGTOiti8nJ7nc2NfoqMY5IMD78LjdlkdUlO5Zd91XJM+yHPpV3hs6WmrwxEt5o+OxJgvOPkP14PfIyMYLpdSit96SwdKwX85siSFXVF1//twgmzBwU+/V+Fw2KwOp2k4HTb+zXshm3fwN19t37lkUjyqs+jhwzgHBgjedNN5rxuGwVPPv4LNZuPKfbssiq55aZrGtVfuJZvL88KrJy54P/yOd6B5vURlcLa4TGYxTebr94Dm5Ln+T+DxBdm3c5vVYTUdh93O1VfsYdocYnH/71M6+yD5x/4fq8MSLeDLU/cTM5a4vfgWdm0btjqcpuNxu/jg0LsJF0J8buwfSesyCFRUx8PHkzw44eRtkTjvvEJmTa7Xzt4APzGS4YUlD3/7Y1lWKqrnxy8keO5EgGt3x7l2f9DqcJrO9Qc6uGpnnKeP+XnypaTV4VhCikd1lJ+YIPH440Te/37U64btHj05ymI8yTVX7MXtkrWnGxEOdbBnx1bOTkwzNRs97z2bz0fXu95F7NvfRk+nLYpQNAvTNMk+9IsY8y8ztf+PWSx1cP1V+7Hba7rHQMva0htheKCPZ4pvwNj1r8k//l8onv6m1WGJJjaWneQb80fYkRnhroO3yQD7Ddq5dYh3qdtJGmn+buwrVocjWkAso/Nff1Qg4sjyu3f0yDLvDfr3b+tjjy/F37yk8eK0LF8Tm7eUKPJ/7rcR8OT4uXs6rQ6naf38PZ343Xn+9j5FItV+y9fkaquOol/9KihF9/vff97rscU4x06dZXigTwbxbtK+XSN0BP08++JRsrn8ee9F7rkHI5tl4Vvfsig60SwKL3yO4itfpHDwt3k1u4Pd27fSHe60OqymdtX+3Xi9Hp70/ztU91VkHvgoxtJpq8MSTcg0TT5z6gvYTTsf7fsAQb/P6pCallKKd1/5FvZl93Bk6Ue8mjxpdUiiiZmmySceXCBd0vidN9ro9LmtDqlp2W02/viOIB6txH/6bop0wbA6JNHETNPkM/+YIluw8+/ebxLwylLSjQr6HXzsboNMzslf/mP7LV+T4lGdmLrO/Ne+RsfNN+PasmXl9Vy+wI+ffQmP28VV+3dbGGFr0DSNG646QEnXeeLZlzCM175sfQcP4tmxQ5auiYsqzTxJ7pFfg6E7eNx4F53BAPt3j1gdVtNzOOxcf9V+0nmTEzv+GID0/fdgFmWpjFifb04+wunSWd5qvJGDI/K9uVket4uf3fpBfLqXT5/6O4pG+z1JFdXx5WcWeTLq4q7BFG/eE7E6nKY3HAnw61cXmcvb+d3vyGYTYuP++cFFTkz4eevVCa6R5Wqbdv0VHdxyMM7RsQD3PtReS0uleFQn8UcfpTAzc96gbMMweOLZl8gXirzh2itxOGRJTDUEAz6uvXIfC4txXjz62lNUpRTdhw6Rfv55sifl6aq4kJFdIHP/B1HePp7p/i2UpnHTtVfIkpgq6Q53csWeHZxNuFi85s8xos+RffiXZSCouGynE+N8ae5r9JYi/MyV98iSmCrZPjDE3e53MMc8f39SHrCI9XtmPM1nnoWtniy//fZ+q8NpGXdd08+7+xP8YMbFPz69aHU4ogk99XKKr//Ix2Akyc/c3WV1OC3jZz8QZqA7yf3f9/Hsqymrw6kbuSOqk+jhw9hDITpvvXXltZeOnmI+tsS1V+6hsyNgYXStZ2hLLzu3DXFqdIKzE9Mrr3ffdRfKbpfuI3EB0zTIPvBRzMwMZ/b8KYs5OzdcfQCf12N1aC1l58gQA/09PBPfRvHK36T48t9RfPFvrQ5LNIHxzBS/f+ovwIRf2/pv8bhkd7VqOrT/Tnbp23kgfYTvTP7A6nBEExmLFfjN7+bwajp/8c4gLnkYWjVKKX7nzi2MeDJ85lmTZydkbqe4fFPRPP/rsMLvLvDbPx3AZpNb/2qx22389k/78boK/NU/K6aj+Uv/UAuQ/4LqoBiLsXTkCF3vex+aszwM+8TpMU6OjrNz2xDDA/KEphau2LuDnq4Qz7x4lNnoAgCOcJjOW29l/v77MQoFiyMUjST/+H+lNPptYvt+l1PpHq7Yu4PeiDyhqTalFNdduZfOYIAfGe/GHLiN7JFfQZ+VrcLF2iay0/zO8f+GYej8evfPsS+yw+qQWo6maXx83y/SW4rwubn/H9+e/herQxJNYDGr8wvfiFMy4E/eamNrt9fqkFqO22nnz94RxKPp/PqDOY7NyQBtcWnxZJE/+T95SrqNX/2QItwhc46qravTyS9/CIolG3/ydzkSqaLVIdWcFI/qYP7++zFLpZUla+NTM7x49CQDfT1cuW+nxdG1Lk3TuOnaKwkGfDz+zEssxstDzSL33ENpcZGl733P2gBFwyiOfof8o58kO3SIZ0s3s2PrILtGZOvvWrHb7dx8w0FcLg8/7vx18PSQvv8ejOyC1aGJBjSZm+F3jv03dF3nFwL/hhu3HrQ6pJYV8gb5wz2/SX+xl8/NfIlvzjxidUiigeWKBr/wtQUW8nY+cWOJG3aErQ6pZY1EfPyPO5xgmvzSN1OML8kDULG2XF7nj/4mzVLaxb99X459O/xWh9SyrtgZ4Gfem2Mx5ea//k2aXF63OqSakuJRjZmmyfzhw/gOHsS7cyeTM1Geev5VusOdXH/VPpnXUGMOh52br78Kl9PBj554nqVEko6bb8bZ1ydL1wQARuIs2W/+a0ode3jc+zEG+ns4uH+X5GaNuV0u3nTDVRRtHbyw5fcxU9PlZYNGa3/pivWZyE7zn4/9GSW9xM+6Psybd11ndUgtrzsY4vd2/ioD+S387cyXuW/6QatDEg2oqBv82v1znEq5+OUrMrzrYK/VIbW8g0Md/PGbIa8rfu6+BDMJKSCJC+XyOv/1f8eZjvn4idtSvOW6TqtDanlvu6GTe25NMb3g44/+Jk6h0LrXslI8qrH0Cy+QPXWKyKFDTEzP8sSzLxHqCPDG6w5is9msDq8teNwubrnxamw2jR/++FmWUhm6///t3Xl4XOV5/vHvI4002q3V+ybvu42x8cZitmB2SDBkI9CQJmlK0/6apiVN0xCaNE3Spm2upi1ZKNkh2GwJwQQwO8ELeMd4t2XZsizJ2pdZ398fM04UWWPLtkZzJN2f6/I10jlnzjyz3J6ZR+95z8030/j66wSqqs68AxmwXDhA269WEgmHWF/6BcqGjWLB3BlqHPWR/LxcLr7oAhqzprBv1GcJH1xD4K1/SnVZ4hGV7VV8cde3CIfD3Jm+kitnLlY2+8iw4lK+MPHPGNsxmh9Vr+aXR55JdUniIe2hKJ9+/DjvnMjmQxNauHPxyDNfSXrF0imlfGVJhKZQGp94soHa1oF/mIz0XHtHmAe+18Sh6nxuWNbIjcs1/UJfufnyEq5b0sjBY/l85XtNA3YEkppHSVazejVp2dm0zrmA9Zt2UFxYwLKF83RmtT6Wl5vDpYvn4/P5eH3dJtKvuBKco/bJJ1NdmqRQ+8v/j8ixDWwf9jkKx8xj8fzZaur2scIh+Vy86AKOFt5IdfG1BH73AKEDz6a6LEmxyvYq/n7XtwhFwtyVcTsr5l6sxlEfG1k2lPsm/Rnl7eN4pOZpfnL4CZ0ZUahvi3D3qlq2NGTx0Umt/PUVI5XNPnblzKF8aVGEmkAGd62u52Cd5kASaGwJcf+DzRw+nstNFzdxx4rSVJc06HzoulJuWNZERXUu9/9vE80DsLmr5lESRVpbqXv2WdKWLGXTvgrKSopYtnCuGkcpkpuTzSWLLsDvz2Rd5XEy511AzRNP4KLRVJcmKRDY8WNCW/6HQ8W345/6ARZdMEtnoUiRwoJ8Llk8n/1jPkdL1gRaf/1hoo0HUl2WpEhF21G+8N43CUXC/In/g7xv9jJ9OU2R4aWl/N2UTzG5fQJP1K3hBwceVQNpEKusD3DnqhMcbMngL2a28leXq3GUKtfNLuP+JREag+nc9VQrbx4YPKcKl1MdOd7Bl77bTlVdDh9Y3szKazTiKFXuWFHC+5c3c7Q2ly9+t42jxwfWWdj0TSmJatesIdrWxtFpsxk3egTLFs7F51PjKJVyc7JZvuRCiguHUDVjDsEjR2haty7VZUkf66h6h7bffor6nDmkLXqAhfNmkpam/w5TaUhBHpcuW8aBKd8kHA5Rv+pmoqH2VJclfWxfYwVffO9bhKMR/nzI3Vw1c4m+nKbY0JISvjDrM8zomMqzTS/xnd0Pq4E0CG063MpdTzZzIpjOP14U4q6lo1Jd0qB37axSvvs+H36L8P9eCPHIpvpUlyQp8M7OZr7yYITm9kz+9OZ2brlSjaNUu/XKEj5+UxvNbZnc/2CYLbsGTnNX35aSIFRfz8EHv8eBf/s2obKhTHzfVcyfPU1fTj0iMzODZQvnUXL11USzs3nvS/9I1apVRNr1RXWgc5Eg9W/+Ky2/vJKQZcOVDzNrxlR9OfWInOwsFi2/iaPT/xlfwzaO/fQqgtVbU12W9IGIi/KLA7/iC/v/hQgR/mbYJ7l40nxl0yMK8/P54rzPMC80m1fa3+Ir275Dc6g11WVJH3DO8T9v1PLpNUGizvHtK4zr5w5NdVkSN3fsEB6+OZdxOe3868Y0vvLcMUIRjagfDKLRKI+uqeM/f5FJelqUz98Z4RJNju0ZyxcW8vmPRjBzfPtnGTyy5gTRAXC0i7oZvcQ5R9O6dez9m79h0+WXc/w7/0m4uJjRX/4y0yeX6wOwx6Snp7Fw4TyGfO5vCYcjHP7yl9m0fDkHv/Y12nbtSnV50sucixLc+XPqvz+ZtN99nras8fhu/DXjp1yQ6tKki4wMH7Ov+QsaZn8Ff8Nm2n56AQ1Pf4Ro48FUlyZJUtF2hL/e9k881vhrRoZH8LXyv+XC0bNSXZZ0kZ2VxRfn/xmXpS9hW2Qnn9n2D7x47A2NQhrAalvD3LP6OD98N4Op+W387NY8Fk8oSnVZ0sXI4lx+vLKMi8ta+FVFNh98pIad1fqD6EBW3xTigQcb+PUbBYwqbeOr9/qZMTE31WVJFzMm5fG1ezMZVdbKM2/k89Xv13OiqX/Pg2T97U1/wYIFbuPGjaku4/dCdXXUPvUUxx97jEBFBS4nl5b5C8m4+n0suP4acrKzUl2inMGJhkY2PfYEaa+8RO72LRAKkTtnDkNXrqR4xQrSc3JSXeIfMbO3nXMLUl1HV17L5kmhg8/T9srnoXYLzf4J1E/+HFOWfwK/PzPVpckZHK/cQ83af2RE7WrSgMy5nyRr8ZdIy/XmKaGVzbMTdhF+UfE0T534LRlRH9ekX85HZt6keQH7gd9VbOKh6kepy6hnqm8in510NyOyvDkaxau5BO9mE2DNu/V8460IbZF07pjQxl8uH64TSnhcNBrl5xtqeHC7j2A0jY9OC/NnS0vweXQ+R2Xz7DnneO7NRh5fm0FHyMcVFzZz5w3FmrPT4yKRKA8/dYJXNueTlRHmg9eEuOKiwlSXldDpsqnm0Tlw0ShN69dT89hj1L/wAi4cJmPWbGrnXkjr7LnMnDmNSeVjNNqoHwmHw+zYtZ8D7+6icNsmCja+RfjQIdLz8ii5/nrKVq4kd/r0VJcJePfN1gvZ7Cx8bCMdr95H5PCLtGcM59Cwexi25NOMGzNK2exHAsEQ777zKv4d/87IhjXg85N14V/hX/B5LKsw1eX9EWWz53Y3H+Df9/+QaldDeWAcfzr6Q0wbVZ7qsuQsNLe18vDO1bxm63DmuKX4Gm4fcz0Zad5q/nk1l+DNbFbUB/jq2gbeOZFFaUaAL1+SwZKJGm3UnxyqaeEfX2xkR3Me5bkd3L88j5kjvTcqRdk8O5XVAR5c1cbBY3kU57fx8ZvTmTs1L9VlyVnYuruZ7z/uaGjNZuqYJu65NY8RZf5Ul3UKNY96Sai2lponn6Rm1SoChw+TPmQIudesoGrGHOpzCygtLmT+7Gnk5XprpIr0XE1dPZu2vUdLaxvDG2op2bSBphdfxAWD5M6aRdnKlZRcey3pual7E/bqm61X3mgj9XvoeP0fCO/+JSFfIQdKPkxkyp8wd85ssrO89x+09MzR6hree/tFRh35HsObXgJ/If6Ff4d//mexDG/8n6tsnllHJMAP9z7K2rY3yYr6uT79Km6bsYLMzIxUlybnwDnH1opdPHxsFYf8hymjhM+Mv5O5hd74Ywt4N5fgsWyGIvzX63Ws2hfL4s1j2/jLy4aR4/dWM1B6JhqN8vBb1Tz0biYBl87y4R187rJihhd4Z9S1stkzbe1hHn2ugVc2xRpFy+c385HrisnI0EjA/qgjEOHhp+v53bZ80tKiLL+glduvKSQ7yzv/16p5dB5cNErTW29x/LHHaFi7FhcOk79wIXnX38iR0eM5Wt9IdpafWdMmMXrEUI1oGACi0Sh7D1by3t4DRCJRxhXlU7ZzGw1PPEH7vn2k5eRQcsMNDF25ktwZM/q8Pq++2ab6jTbaeozA7x4gsPX7RC2DiuIPUDfmbmbOmsfwoTrzxEAQDofZtb+Cqh1rmXD8h5S0vAU5w8la8iUyZ38CS0/th2JlM7FgJMSayld4su45GtKamBGayqfKP8SY0hEprUt6RzAY4qldL/B04Le0+tpY4JvLpyd+mOLswlSX5tlcgkeyGY7ys7dP8POdjvpQJnMKWvi7S/OZOqIgpXVJ7zha38G3X63j1eO5+CzKjeVh/nxZMQUe+KKqbJ5eMBjhibWNvLjBT3swk/HDWvjErX7GjfLGH8zk/Ow/3MYPnwxQcTyP3KwAKxYHuP7SQk80BdU8OgfBmhpqn3iCmtWrCVRW4isspPSWW/C/bwX7w46q6lp8vnQml49lyoSxOg58AOoIBNm5ez8HK6sAGDd6BGNbG2l6+inq1qzBBQLkzJzJ0Ntuo+T66/tsNJJX32xT9UbrAk0ENn6Ljo3fhkiQI4XXUTniT5g0/ULKx47SWQ4HoNa2dt7dvZ+mvS8wqeYhCtu2QsF4spc9QMa0D2Npqfn/WNk8VVOomdUVz7G28Q1a09ooChfyweKbuKp8qf7YMgDVNNbxg32/ZKNtIZ105mfMZuW465iYPzZlNXk1l5DabAbDUX6ysY5f7DQawhmM9rfzpxf4uG5WibI5AG2rbOQ/3mxhS2MeuekhbiyP8PFFJRTnpK6JpGx2ryMQ4devNPDCBj+tHX6GFbWw8qo0Fs0ZkpJ6JLlee7uRVS/CieYccrMCXH5hkJuWDyE7K3W9BTWPeshFozS+8QY1q1ZR/9JLEImQf9FFlN12G4HZ89hfdZyaunoyfD4mjh/NpPIxZGZoqP1A19bezq69h37fRBo5rIzykgKir79GzapVtO/eTVp29h/mRpo5M6kfvLz6ZtvnowLDATo2/Tcd675KWuAE1QXLOTzyU4ydvpTysaPw+dTQHeiaWlp5b/cB2vf+iok1D5HfsRdXNIPcS/8Z38Sb+vwLkLL5BxWtR3m04tds6NhM2CKMDo3k2qLlXD3+YmVzENh+fDe/rHyGnbaHiEUYa6O5YegVLB++GJ/17fPv1VxCarJZ1RjkxxvrWXMoneZIBqOz2rl7dho3zSnVH1sGgdf31PM/GzvY1ZJDhkW4ZHiQexYWMHVY349mUTb/WHVdgCfXtrBhZzaBUAYlBW3ccpnj0gUFyuYAF4lEeWlDE795A2oacvFnhFg8s41briigtKjvR9WreXQGwePHqXn8cWpWryZ49Ci+oiJKb7mFghtvojo9k/0VR2jvCJCd5WfC2FFMGDdaZ4MZhNra29l38AgHDx8lFA5TWJDPuNEjKK6rpv6JJzjx7LNEOzrImT6doStXxkYj5fX+RHZefbPtqzdaF43QvOX/CP3ufnztR6jLnc/RMfcyYuZVjBszEp9GAQ46zS2t7D1QQfvORxhf/RC5wUrCxfPJW/4v+Muv7rM6Bn02nWPd8c08cey37HH7SXNpTA1P4sayK7lo7Bx9+B2EDp84xlMVz7M+vIkWXyt5LpdL8i7i1jHXUJrVN5MwezWX0HfZjESjvL6vmUe3tbOxzk+UNKbktXHHjAxunF2sbA5CGw/U86NNbayvyyGCMbOggxunZHD9zEKyM/vmc5SyGWsavLW1hZc2hNhdmYdzxrhhzaxYms7SeWoaDTbRaJS3tjTyzOuOiuP5pFmUiaNauXyBj6Xz8vrsrHpqHnXDRSI0vvFGbC6jV16BSISCxYspvvX9tM2YxeGaE9TU1QNQVlLEhHGjGTG0RCEWwuEIFUePsf9gJU0traSlpTFiaCmjh+SRvu5Nah577A+jka67jrLbbiN39uxeGwXh1TfbpI4KDLXRfvBFmnb+Cjv8HFkdFTRlTebE5M8x/ILbGFparGH2QjAU4tChwzRv/h6jjjxEVriGtuIlZMy6h6IZN5Kem9xTiQ/GbEZdlO0Nu3mp6nds7niXxrQm/BE/C9PmcuvoaxhfqrMbCrR1tPPcgdd5qflNKjOPYs6YnjaZa8ouZdGweWSmJ28Ut1dzCcn/grqjqo3VW5t47Wg69eFM/Bbh4mHt3Dk/n1mjNKeRQOWJNv5vQwNrj2TSHMkgKy3C4qFBbp2Zw5LxeUn93jOYs7n7YCsvrGtny54s2gJ+MnxhZk1o5ebLcpg4VnMaCbx3oI1nX2tj+4EcguEMcvwB5k3p4IqFOUwZn52yo1wGXfMoeOxYbJTR448TrKrCV1JC0Y03Erl0OTXpfqprTxCNRsnNyWbMyGGMHTVcZ0+TbjnnaGhqpuLIMQ4frSYYDOHzpTO8tITSxjrci89Tv2YN0fZ2cqZOjZ2p7YYb8OXnn9ftevXNtjffaJ2LEql+h/a9v6Fj/3P4ajeQ5kJELIOW/Hm4KXdSuvAecnOUTTmVc466mmoa1/8HBXsfJDPSAEAgbyppY64kf8q1ZI5djmX27sjAwZBNgLCLsKFmK6/VrGdb8D1arY00l8boyEgW58/jurFXUJDtvdNCS+o559h+bA/PVK9lc3Q7wbQQGc7HxLTxXDhkDpeNWEipv7hXb9OruYTez2Y0GuXtilae293KumNpVAX8GI4pee1cMyGNm2YXUZjjnbNtiXeEwhF+u7OeX+8OsLk+m5BLp9AX5MKyMFdOzGb55AIyfb3bSBps2dy6u5U3twR494CfxtYswDF2aAtL58AViwo8dbYt8Y72QJiX1jXx2maorMkDjIKcDmaUB1g2z8+cKbm93uQd9M0jF4nQ8Npr1Dz2GA2vvgrRKNkLF+Iuv5K68snUt7QBkJOdxYhhpYwZMYyiwgL9tVR6LBqNUl1zgqPVNVQdryUYDJGWZpRm+xmyfQvR539LYM9u0rKyKL722tiZ2ubMOafXmFffbM/3jTbadIjggedo2/ssHHmZ9FADAM3+ibQULiJ93FUMnXkDQ4rLeqliGQzCoQDH31tL295n8VW/zpC27aS5EM58hEvmkzH+anImrsA3YhF2nqMfBmo2AWra69hwfBsbGrewM7KXoAVJj6YzPjqG+TmzuWL0EoYV6KyG0nOtgTZeObKejQ3b2OP205oe+yw2zJUxO3say8ouZFbxVNLt/D4UezWX0DvZrG0JsnZPE28dDrG5LoOmcAaGY3xOBxePcrx/TiFjirN7qWIZDE60BnhqawOvVkTZ2ZxF2KXhtwizigIsHpXOZZPymVB6/q+pgZ7NY7VB1m9vZfveKAeqsugIZmI4RpS0Mm9KhMsvKmB4qZq50nNVNQFe3tjMlt1pHK3Lxbk0sv1Bykd0MHtSGhfNzmVo8fm/pgZt8yhQVfX7uYxC1dVYYSHhZZdSN3c+waLYh9yiIfmMGFbGiKGlFOTnqmEk5805R119A0eP1VJdW0dzSxs4R051FcXvrIffvQEdHWRPnhybG+nGG/EV9Hz4uFffbM/2jdYFGgkcfJG2vb/BHX4RX+tBADp8JZzIvZDQsEvJmbiCYWOnk5+nEUZy/qLRKDXVR6jf9Tyuci15jRvI79iD4Yim5xAeuoTM8VeTO+la0svO/lDTAZNN5zjUeoS3a3ewo3k3B0IVNKY1AZAZzWSSK2dhwVwuG7mQwlwd+iLnLxQOs/nYTt6q28S7wT0c99XgzJEV9TMxvZxpOROYWzydaUUT8KWd3V/nvZpLOLdsVtQHWXeohc1Hg7x7Io3KDj9g+C3C1IIAl4xJ59oZBQwfkpW8wmXQaG4P8fx7Dbx8MMTW+kxaIrE/shRlBJlZFGbBSB+Lx+cyoSTrrEc/DKRsAhytCbB1dxs790fYfySThtZYgy3TF2Lc8HbmTErj0gvzKC7UyZbk/NU1hnjt7WY273IcPp5DMBx7byzKb2PCyBDTytOZOyWHEWX+s973oGoeRUMhqp5/gZrHHiO4YQMOR2DKNFoWLaVjxmzyhxRQVlJEWUkhpcVF+DMVYEmu9o4ANXUnOF5bz/HaEwQam8jZ8ja5694k83AFZGaSc/nlDL/9DoovWnjGN1+vvtmeKZuRUICWA6/Svm8NHH2JrIatGBHClkVD7lzaSpbiG3s1heMWUFpcpEnpJela29qpObqPtn3Pk1b1CkOaN5ITPAJAKKOE0NCl+MZeSd7k68gum3zG/fXXbAbCQbbWvsfWxvfY036AiugROtICAPgjfka54UzKKmde0TTmDZtJlk9/KZXkcc5R3VTLG9Vvs6llBwdcBe3pHQD4nI8RbigT/OOYWTCZeSXTKc05/WFuXs0lnDmbrYEwGytaeedIBztqouxrzqA5/uXdZ1HGZgeYO9RxyfgsFo0vwJ+hE0ZI8kSjUbZUtvD6gTbeqY6yp8lPh4t9VstND1GeF2JGqTFvhJ+FY/Moyj39d6z+nM2WthDbdrfz3sEQB48aVXV+2oOx98a0tAgji9uZMi7ChdMzmTExV2cZlaSKRKJs29PK2zsD7D6UzrETOURd7PtkblaAUaUBJoyCKeMzmTEhm9yc03/HGlTNozdv/QC+3e8RyS+gfdFSMq6+mqJJkygaUkBJcSFZfn3oldRxztHW3sGJhkZO1DdRv2UL0bUvkPPORtICHdi117PwX7952n149c32dNl0znHsu+PJCVTgSKM5eyodpctg9BXkjb+MktIyMtXIlRRyztHS2k79kR0EDjxP+rFXyWtYjz8SO3FCw/T7GHfd10+7j/6YzY5ggLu3f45gWgiAgkg+Y2wUU7LKmVM4jellE8nMUDYldaLRKAcaKtlct5Ndrfs5FK6kNr0OZ7HPrx/JvZUPTF6R8PpezSWcPpuVda28//EgUWJfAIp8QSbmh5hZZswf6WfB+AL8+iOLpFAoHGFzZSsbD7ezoybC3iYftaE/jHL42pIQ18wqTXj9/prN7Xsa+MaPc4DY6OS87A5GlgYpH+mYXp7JrMm5+PvojHUi3ekIRHh3Xxs79gXZfwSO1GbRHjjZA3H8/d0dTJ+YeOT46bI54N51im+/HUtPZ/jVV1OgeYvEY8yM3Jzs+ITsw2HmFMJ3vJ/6Y8c5/utnyJ06JdUlJoWZEZ75WVqzh5A/eQWji3UGJvEWMyM/L4f8qQth6kLg7wmGQjQdWk/HgefJLb861SUmRVamn/dlXcaw7FLml85keF6ZsimekpaWxsTisUwsHvv7Zc2BVrbWvse7jXuYVzwjhdUlz8iibN4/vpEpZZksGpfHqKIhqS5J5I9k+NJZOL6AheP/8CX0eFOADRWtbDsWZO7ogXlY84TRuVw8p5Ep43zMnpxDadH5nQhHpLdl+dOZPyOf+Z3eHqtqAuzY18a+wxHKR5/7+8mAG3kkMtB59S81yqYMdsqmiPd4NZegbMrgpmyKeNPpstm753UTEREREREREZEBRc0jERERERERERFJSM0jERERERERERFJKKnNIzNbYWa7zGyvmd3XzXq/mT0aX7/OzMYnsx4RiVE2RbxJ2RTxJmVTxJuUTZG+k7TmkZmlA98FrgVmAB8ys66nxLgHqHfOTQL+HfhGsuoRkRhlU8SblE0Rb1I2RbxJ2RTpW8kceXQRsNc5t985FwQeAW7uss3NwI/iP68CrjSdI1gk2ZRNEW9SNkW8SdkU8SZlU6QP+ZK471HA4U6/VwKLEm3jnAubWSNQAtR23sjMPgl8Mv5ri5ntOsNtl3bdh8f1p3r7U60wMOsdd563oWz2XH+qtz/VCgOzXmWzb/SnWkH1JtuZ6j3fXIKy2VP9qVZQvcmmbHpHf6oVVG8yndfn2WQ2j3qNc+57wPd6ur2ZbXTOLUhiSb2qP9Xbn2oF1ZtsyqZ39KdaQfUm20DOZn+qFVRvsvW3epVN71C9ydXf6lU2vUP1Js/51prMw9aOAGM6/T46vqzbbczMBwwB6pJYk4gomyJepWyKeJOyKeJNyqZIH0pm82gDMNnMys0sE/gg8HSXbZ4G7or/fBuw1jnnkliTiCibIl6lbIp4k7Ip4k3KpkgfStpha/FjSu8FngPSgYecczvM7AFgo3PuaeCHwE/MbC9wgljge0OPhxx6RH+qtz/VCqr3FMrmWelP9fanWkH1nkLZ7LH+VCuo3mRTNr2jP9UKqjfZlE3v6E+1gupNpvOq1dR4FRERERERERGRRJJ52JqIiIiIiIiIiPRzah6JiIiIiIiIiEhCA6J5ZGYrzWyHmUXNLOGp58xshZntMrO9ZnZfX9bYpY5iM3vezPbEL4sSbBcxs83xf10nf0t2jad9rMzMb2aPxtevM7PxfVlfN/Wcqd67zaym0+P5iVTUGa/lITM7bmbbE6w3M/tO/L5sNbP5fV1jb1E2k1Kjspkkyma326U8m/0hl/HbVzaTRNnsdjtls+d1KptJomx2u52y2fM6+002+1Mu4/UkJ5vOuX7/D5gOTAVeBhYk2CYd2AdMADKBLcCMFNX7TeC++M/3Ad9IsF1Liuo742MFfAb43/jPHwQeTeHz35N67wb+K1U1dqnlUmA+sD3B+uuAZwEDFgPrUl3zedxXZbN361M2k1uvsnmWz18f1erpXPb0sVI2z6teZfMsn78+qlXZTE29ymZq7quy2bs19pts9rdcxutJSjYHxMgj59xO59yuM2x2EbDXObffORcEHgFuTn513boZ+FH85x8Bt6SojkR68lh1vg+rgCvNzPqwxs689NyekXPuVWJne0jkZuDHLuYtoNDMRvRNdb1L2ex1ymYSKZun8Mrz5/VcgrKZVMrmKbzy/Cmbvc8rz22PKJun8Mrzp2z2Lq88rz2WrGwOiOZRD40CDnf6vTK+LBWGOeeq4j8fA4Yl2C7LzDaa2VtmdkvflAb07LH6/TbOuTDQCJT0SXWn6ulz+4H4sLxVZjamb0o7J156rfYFL91fZbN3KZv9m1fur9dzCcpmqnnltdpXvHJ/lc3ep2z2b165v8pm7xpouYRzfK36klZOLzOzF4Dh3az6onPuqb6u50xOV2/nX5xzzsxcgt2Mc84dMbMJwFoz2+ac29fbtQ4SvwJ+4ZwLmNmniHWxr0hxTQOCsqlsnidlM0n6UzaVS09SNpNE2VQ2z5OymSTKprJ5HgZFLvtN88g5d9V57uII0LkDODq+LClOV6+ZVZvZCOdcVXx42PEE+zgSv9xvZi8DFxA73jLZevJYndym0sx8wBCgrg9q684Z63XOda7tB8SOBfaqPn2tni9lU9k8DWUzhfpTNvt5LkHZTDVlU9lMRNlMLWVT2UykP2VzoOUSzvG1OpgOW9sATDazcjPLJDbpVp/PKh/3NHBX/Oe7gFM62WZWZGb++M+lwDLg3T6qryePVef7cBuw1jmXqKudbGest8sxnDcBO/uwvrP1NPCx+Cz4i4HGTkNPByJls+eUzdRSNlOTTa/nEpTNVFM2lc1ElM3UUjaVzUT6UzYHWi7hXLPpPDAb+Pn+A24ldpxeAKgGnosvHwn8ptN21wG7iXVUv5jCekuAF4E9wAtAcXz5AuAH8Z+XAtuIzea+Dbinj2s85bECHgBuiv+cBTwG7AXWAxNS/Bo4U71fB3bEH8+XgGkprPUXQBUQir9u7wE+DXw6vt6A78bvyzYSnNGhP/xTNpNSo7KZvFqVTQ9msz/kMtFjpWz2Wq3KprJ5PnUqm8mrVdlUNs+nzn6Tzf6Uy3g9Scmmxa8sIiIiIiIiIiJyisF02JqIiIiIiIiIiJwlNY9ERERERERERCQhNY9ERERERERERCQhNY9ERERERERERCQhNY9ERERERERERCQhNY9ERERERERERCQhNY9ERERERERERCQhNY+kR8xsoZltNbMsM8s1sx1mNivVdYkMdsqmiDcpmyLeo1yKeJOy2T+Ycy7VNUg/YWZfBbKAbKDSOff1FJckIiibIl6lbIp4j3Ip4k3KpvepeSQ9ZmaZwAagA1jqnIukuCQRQdkU8SplU8R7lEsRb1I2vU+HrcnZKAHygHxiXWER8QZlU8SblE0R71EuRbxJ2fQ4jTySHjOzp4FHgHJghHPu3hSXJCIomyJepWyKeI9yKeJNyqb3+VJdgPQPZvYxIOSc+7mZpQNvmtkVzrm1qa5NZDBTNkW8SdkU8R7lUsSblM3+QSOPREREREREREQkIc15JCIiIiIiIiIiCal5JCIiIiIiIiIiCal5JCIiIiIiIiIiCal5JCIiIgCY2Y/M7LiZ5Z7HPnLM7JiZ/bQ3a5NzZ2b3m5kzs+VdljszezklRYmIiEi/ouaRiIiIYGYLgTuBf3HOtZ7rfpxzbcDXgQ/H9+kpZjY+3jQ53b/lqa5TRERExEt8qS5AREREPOFrQBPwP72wrweBL8f3+b5e2F8yNAL/kWDdwb4rI6WmA22pLkJERES8T80jERGRQc7MpgBXAT9wzrWf7/6ccx1m9ijwKTOb7Jzbc95F9r4G59z9qS4ilZxz76W6BhEREekfdNiaiIiIfBww4NGuK8ws08zuNbPfmNkhMwuY2Qkze8HMrj3NPh+J7/PjPS3CzF6OHzbmN7OvmtmB+O3tM7Mvm1lmN9dx8euNNLOfxOdsajezt83swz297dPUNMTMvm5mu8ysw8zqzew5M7uqm22Xx+u538wuMrNn4o+Vix8u13n9AjNbY2aN8X2uNrMx8f1MMLNHzKwmfl9eMrO553tfuqn3lDmPOs+PZGa3mdl6M2uL349HzGxUgn0Vxx+nnfGaG83sRTM7ZeRZ/DH9vJmtNbNKMwvG7+vTZrbkdLWa2XAz+4GZHTGziJnd3RuPhYiIiJyemkciIiJyFRAB3upmXTHwn0A+8DzwbeBp4ALgN2b2iQT7XA+EgKvPoZ5fEms6/Qr4L8AB9wOrzcy62b4IeBOYDfwf8GNgAvAzM/v8Odw+AGZWGN/vffzhMLfVwBLgt2b2qQRXXQK8BmQBDwE/AoKd1i+Mrwf4PrHH6v3AC2Y2Lf776Pj9eAa4DHjezPLO9b6cg88APyV2CN93ge3AHfEa/Z03NLNxwNvEHqca4H+JNSKnA2vM7E+77Hs6sUMao8Tu37eJvbauAF41sxUJaiom9hpdDDxO7LVRfT53UkRERHrGnHOprkFERERSJH5mtUZgp3Nudjfr/UCZc66yy/IhwBvASGBUd4e7mdkmYA5Q6Jxr7kEtLxNrlOwBFjnn6uPLs4CXiDUNPuac+0mn65z8IPMY8EHnXDS+vJxYQyMPmOac2x9fPh44QOI5jzY7556Mb/sg8Enge8CnXfxDk5lNBjYSaw5Ndc4djC9fHq+T+PYPdrl/ndd/1Dn3s07rfkisYVYP/Jtz7mud1n0JeAD4K+fcfyZ4+BIys/uJzUF1uXPu5U7LHfCKc255N9s2A8ucc9s6rfs58CHgDufcLzstfxm4FPiwc+6RTssLgZeBqcB451x1fPkQIMM5V9ulztHEGmeNzrnpXdadfJ5/AnzcORc+28dBREREzp1GHomIiAxuo4B0oKq7lc65QNfGUXx5I7FRNUXERtJ05xixzxrdHup0Gv90snEUv60O4AvxX7s7DC4C/N3JxlH8OgeA7wAZxM4i19UQYk2Srv9ugdjhesBHgRbgCycbR/F974nvOxP4WDf73ty1cdTF650bR3E/il82Av/SZd2P45fzTrPP3vadzo2juO/HLy86uSB+ON1lwOrOjSMA51wDscc0C/hAp+WNXRtH8eWVwCpgmpmN7aamIPA3ahyJiIj0PU2YLSIiMriVxC/rE21gZjOBzxMbXTKCWDOgs0TNoRPxy9KzrOmVbpa9TqxJdEE36yrizaKuXibWvOjuOoecc+NPU8NUIAd4wzl3opv1a4F/SLDv9afZL8RGLXV1NH652TkX6bLuSPxy9Bn225u6q/Fw/LKo07KTcxQNiY9a6qosftl1JNEy4C/j1x9KrBHX2Sigosuyg86546cvW0RERJJBzSMREZHB7eThZl0bQgCY2WJijRIf8CKx+Y6aiM1XMw+4GfB3d10gu8tt9NQp89g458JmVkus0XDG7eOOxS+HnOXtd75OtyOyOi0vPM3tJtLYzbJwonXx+w6xUVR9paGbZSdrTO+07GTz8WpOP7/V7+drMrNbiY0w6iA219E+oJXYa2o5sZFM3b2mzvS4ioiISJKoeSQiIjK4nRzJUZJg/T8QawL90Xw5AGb2BWLNo0RO7vNsR4sMo8uoEzPzERvB1JRg++4Mj19216w5k5PXGZ5g/YjT7HswTSh58v7/pXPuOz28zj8ROwRtgXNuZ+cV8XmmLktwvcH0uIqIiHiK5jwSEREZ3KqInSFraoL1k4ATXRtHcYm+5J80FagDTpkz6Qy62+/FxEa8bOpm3dj4RNhdLY9fdnedM9kFtAFz4xM/d3V5/PKdc9j3QHLyDH2XnMV1JgHvdtM4SiP2PIuIiIjHqHkkIiIyiMUngn4VKDWzSd1schAoNrM5nRea2T3ANYn2Gz/b2TDg5c6TTffQl8zs9/PqxM+29vX4r//XzfbpwDfizYfOt/9ZYoda/fQsbx/nXBD4GZBPbKTM75nZxPi+Q8TO/jVoOec2Aq8B7zez7iYzx8xmm1nnww0PApPNbGSnbQy4H5iRvGpFRETkXOmwNREREVlN7GxY1wB7u6z7j/jy183sl8QOU1pAbITIKuC2BPt8X6d9n62dwA4zW0WsQXMzMBF4hu6bNVuBRcDbZvZbYvMQ3R6//Fvn3L5zqAHgPmIjau41s4XAS8QOnbudWFPp3gQTdQ82HyY2L9YPzeyzwDpicyaNBuYAs4hNjH3y8MV/B/4X2GRmq4k9x8uINY5+BdzYl8WLiIjImWnkkYiIiKwm9sX+lNPOO+fWEPsy/y5wB3APECB22NYzp9nnXcQOhzuX5tHtwEPx272X2OeV+4EPJBjFVA8sBXYAfxK/7QPAR5xz3zqH2wcgfpa1JcA3ic3f9NfASmJnU1vhnPvvc933QOKcqwQuBL5I7Ix4HyE2MmspsbmrPgVs67T9g8Sepypiz9VHiJ3JbRE6DFBERMST7OxHkouIiMhAE5/8+p+B+c65c5kjqPO+5gBbgC855756Ftd7GbjMOWdncR0HvOKcW362dYqIiIhIz2jkkYiIiEDsUKIK4IFe2NcDxEaS/Fsv7EtEREREUkzNIxEREcE51wHcCWw0s9xz3Y+Z5RA7u9nHnHPtvVWfiIiIiKSOJswWERERAJxzrxI789r57KMN+ErvVCTdMbNbgHk92PSgc+7hpBYjIiIig4LmPBIRERHpR8zsYWITTZ+J5oISERGRXqHmkYiIiIiIiIiIJKQ5j0REREREREREJCE1j0REREREREREJCE1j0REREREREREJCE1j0REREREREREJCE1j0REREREREREJCE1j0REREREREREJKH/D0biru8j9DfZAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax_arr = plt.subplots(1,5, figsize=(20, 5))\n",
    "bottom_pos = -0.2\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[0],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_linear5, x=\"x\", y=\"y\",color=\"#c92a2a\",ax=ax_arr[0],ci=68,label=\"ppForm_linear5\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[1],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_linear10, x=\"x\", y=\"y\",color=\"#f08c00\",ax=ax_arr[1],ci=68,label=\"ppForm_linear10\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[2],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_linear20, x=\"x\", y=\"y\",color=\"#51cf66\",ax=ax_arr[2],ci=68,label=\"ppForm_linear20\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[3],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_linear40, x=\"x\", y=\"y\",color=\"#339af0\",ax=ax_arr[3],ci=68,label=\"ppForm_linear40\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[4],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_linear80, x=\"x\", y=\"y\",color=\"#5c7cfa\",ax=ax_arr[4],ci=68,label=\"ppForm_linear80\")\n",
    "\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax.set_title(\"(a) ppForm_linear\",x=-1.9, y=bottom_pos, fontsize=20)\n",
    "save_picture(plt, \"png\", \"ppForm_linear\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a7cd8daf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax_arr = plt.subplots(1,5, figsize=(20, 5))\n",
    "bottom_pos = -0.2\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[0],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_complete5, x=\"x\", y=\"y\",color=\"#c92a2a\",ax=ax_arr[0],ci=68,label=\"ppForm_cubic_complete5\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[1],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_complete10, x=\"x\", y=\"y\",color=\"#f08c00\",ax=ax_arr[1],ci=68,label=\"ppForm_cubic_complete10\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[2],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_complete20, x=\"x\", y=\"y\",color=\"#51cf66\",ax=ax_arr[2],ci=68,label=\"ppForm_cubic_complete20\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[3],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_complete40, x=\"x\", y=\"y\",color=\"#339af0\",ax=ax_arr[3],ci=68,label=\"ppForm_cubic_complete40\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[4],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_complete80, x=\"x\", y=\"y\",color=\"#5c7cfa\",ax=ax_arr[4],ci=68,label=\"ppForm_cubic_complete80\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax.set_title(\"(b) ppForm_cubic_complete\",x=-1.9, y=bottom_pos, fontsize=20)\n",
    "save_picture(plt, \"png\", \"ppForm_cubic_complete\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "f121daf6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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e5swzz+RLX/oSX/ziF0/6/htuuIEzzzyTrVu3csUVV/Av//IvJV/i8aUvfYn77ruPLVu2cO6557Jz507sdjv/8A//wPnnn8+rXvUqNm3adNx7XC4XZ599Nu973/vm3FVlrmMu1qc+9SkuuOACXvaylx13/re+9a187nOf4+yzz2b//v185CMf4Wtf+xpnn302k5OTJz3e2972NrZv386WLVu4+eabT/hvAti1axfbtm1j69atXH755Xz84x+X4lGNkxysrRyE4oebN73pTfz617+mt7eXe++9F4B//ud/5l//9V9Zt24d4XCYP/3TP130f5OoHpKbtZWbP/rRj3jwwQe56aabjs7Q2LFjByC5WW8kN2srN0/lq1/9Ku9+97tZt24da9eulWHZNU5ys7Zy841vfCNr165ly5YtbN26la1bt/La174WKE9uqoUOEq0W27ZtM2cn/Ftt165dbN682dIY+vv7j5ssP2vVqlVs376d1tZWiyITpTDX95hS6gnTNLdZFNJJWZGbkoPCKpKbpya5KaxQS3kJkpuSm41DcnN+kpvCCovNTek8EkIIIYQQQgghhBAnJQOza9yqVatOqA4DR6e+V9pnPvMZfvzjHx/32Jve9Cb+7u/+ruznDofDXHnllSc8/utf/5qWlpayn180JsnBF0kOimoiufkiyU1RTSQ3XyS5KaqJ5OaLJDfnJsvWlqEa2gtFfaulNt9GbfEVjUly89QkN4UVaikvQXJTNA7JzflJbgoryLK1Cqu14puoHfK9tTDydRKVJt9zCyNfJ1FJ8v22cPK1EpUk328LJ18rUUlL+X6T4tEyuFwuwuGwJLooOdM0CYfDuFwuq0OpapKDotIkNxdGclNUkuTlwkluikqS3Fw4yU1RSUvNTZl5tAy9vb0MDg4yMTFhdSiiDrlcLnp7e60Oo6pJDgorSG7OT3JTVJrk5cJIbopKk9xcGMlNUWlLyU0pHi2D3W5n9erVVochRMOSHBSiOkluClGdJDeFqE6Sm6IWlG3ZmlLq20qpcaXUiSPbi88rpdS/K6X2KaWeUUqdU65YhBAvktwUojpJbgpRnSQ3hahOkptCVFY5Zx7dBFx9iuevAdYf+d97ga+VMRYhxItuQnJTiGp0E5KbQlSjm5DcFKIa3YTkphAVU7bikWmaDwJTp3jJ64CbzaLfAyGlVFe54hFCFEluClGdJDeFqE6Sm0JUJ8lNISrLyt3WeoDDx/x98MhjogqZpsnegwM8+PsnGRqVQW51TnKzhhiFHIdv+zOG/vM8Jp+9xepwRHlJbtaQTD7LPz/z//jQk5/iuYk9Vocjyktys4ZEEjk++LNh/uiHI+wdS1gdjigvyc0aMjKR4f98Pcz/+XqY8XDW6nDEHKwsHi2YUuq9SqntSqntMoHeGkOj4zy7ax+RaIzHnnqOmVjc6pBEFZDctN7IvR8nsO9rOON70H55I8nRnVaHJKqA5Kb1vrnrhzxqPMlhNcznBv4fqWza6pBEFZDctN7f3TvBo5MeXoi5+Ot74+TyBatDElVActNahmHwxe8lOTDsY/+wjy98N4FhGFaHJV7CyuLRENB3zN97jzx2AtM0v2Ga5jbTNLe1tbVVJDjxItM02bXnIEG/j1e/4iJsus7uvQetDkuUj+RmjcjHJ3Dv/jKR1lfj/MMnMZWN6d/8jdVhifKR3KwR0XSc3+UeYwNr+YuOPyamx7ll/71WhyXKR3KzRuweifNo2MM1vSk+dI7BSMbFT3eErQ5LlI/kZo34/TNxRsI+rr4oztUXxhkO+/j9M9KsUG2sLB7dDrzzyBT8C4EZ0zRHLIxHnMTkVIRYIsm61X24nA5W9nYxPDZJJiPthHVKcrNGhB/9MrqZxXPRJ/C3ryXa83o8I3eTi875uUjUPsnNGnFn//1ktSxv6L6al3edR7MR4uHEE5imaXVoojwkN2vEfz8VRQPee2Ezb9jaRMiW5fa90nlUxyQ3a8Qvf5/DYcvxB5cHueGKIHZbnt88nrM6LPESZSseKaX+B3gE2KiUGlRK/alS6n1KqfcdecldwAFgH/BN4M/KFYtYnuGxCTRNo6erHYAVvZ2YpsnI+KTFkYmlkNysI/t+SNRzBq3rLwHAs/W9aBSYeeZ/LA5MLIXkZv14MvEsPsPLtrYtKKU433sWI7YxBqblmqUWSW7WB9M02T5uY6M/TW+TE5uucWl3gb1xNxPRjNXhiSWQ3KwP6UyB/lEvm1amcLtsuF02Nq5Ism/QSyYrxd1qYivXgU3TvHGe503gA+U6vyidsfEwbS1N2HQdgKDfh8vlZGwizKq+boujE4sluVkf8pF+XPEXiK//MEopAFrWXsSEow+172dwyUcsjlAsluRmfYinkxxSg5zjOONobl7ScR739N/PI+NPsrJZfm/WGsnN+rBzJMFkzsn1614sFF25zs3tA/CLF6K87TxZqlRrJDfrw/bn4+QLHs7ZpB997NzNGs8d0HlyZ4KLzgpYGJ04Vk0MzBbWiSeSxJMpOttajj6mlKKjtZnxyWlpwRfCItHnfwKAe+MNRx+z2Wwk2q/EOfUoZk52kBHCCo+PPktey3N+89ajj20KrsFluHgmsdvCyIRobL/eU5yfctVG/9HHLljlx6Pl+f2gLI8RwipP7sqhKYMLz/QdfeyCLT6UMnhyt4xJqSZSPBKnFJ6eAaC1JXTc420tIXL5PNGYXKAKYYXcoV+RsnfRvOq84x7X+y5DMwukDj1gUWRCNLad0b0AnNu25ehjmtJYq69ggCHZPUYIizw7YRCyZVnb5j76mE3XWOvPsmembIsxhBDz6B+x0R5K4vW8mId+r532UIoDQ5Kb1USKR+KUpiNRbDadgM973OPNoSAAU5EZK8ISoqGZpolt8nHi/rNwOR3HPedbcwUGGsl9v7AoOiEa24HsACEjSNDuP+7xDd41JPWkzD0SwiL7Y3bWBfInPH5GmyKcczISkblHQlRaOlMgHHXT13nibKO+jjyTM26yMveoakjxSJzSVCRKUzBwdG7DLK/HjdNhP9qZJISoHGN6H7bcFEbbeSc819TWTcy9CWP4QQsiE6Kx5fN5htUoq2y9Jzy3pXkjAE9PydI1ISqtfzJFtODg9LYTL33O6y12Ij1yMFbpsIRoeLsOJDFMjQ0r9BOe27BCxzA1dh5IWhCZmIsUj8RJFQoFZmJxmkMnDilTStEUCjIdiVoQmRCNbXZJmqPv5Sc8Z9N10sGzsM/sxCzIDAchKmnv1AAZPcNG39oTntsUXIsyFXsTBy2ITIjG9tih4piFbb2uE57btsKLwuSZMZmtIkSl7TpYzLstGzwnPHfG+mJhd9cByc1qIcUjcVKRaBzTNGmao3gEEAr4iCWSFArSSihEJaUHHiSneQms2Dbn82br2WhGhkL4+QpHJkRj2xXZB8CW5g0nPOfSnbTRwkB+qNJhCdHwdk5k0TA5q9d3wnMep40OZ5YDM2qOdwohyungELgdWbrbHCc819PuwGnP0i+rvauGFI/ESUVjxV0pgv4Tf9ECBAPFx6NxGZotRCWZkzuIuTYSDPjnfN7RfT4A6cHfVzIsIRreodQgylSs8a+Y8/leWxeTKixDs4WosP4ZRZsji9tx4tIYgBW+AoMJe4WjEkKMTdlpC2VOGJECoGkarcEsY1MyNLtaSPFInFQ0nkDXdTzuE1t84cWi0kw0XsmwhGhoppHHFn2BjH8juj73h2Bf1+nkNC+ZoUcrHJ0QjW0oN0rIDOLSnXM+v9LdQ1rPMDQzVuHIhGhsg0kbfb6Td8qvbVJEC3bGo7I8RohKyeUKzCScdLac/IZKZ0uBSNxJoSA3XaqBFI/ESUVjCQI+75yVYCgOzdZ1jWhMOo+EqBRjeg+akcVoOuOkrwkGAsRcGzDHn6hgZEI0NtM0mSBMp9520tes868EYE9E5h4JUSmRZI5I3sGa4MmXpZ3WXlwy8/SQfKYVolL6h9MYpkZf58lLEis6NQqGzqHhdAUjEycjxSNxUtFYnIDfe9LnlVIE/D5mYtJ5JESl5EafBMDWcfZJX+Nw2El7N6BH92AaMpNMiEqYTkaJ6XH6nN0nfc3G0BoADiYOVyosIRrec8PFnZo2tp18WdrWnuKw3p3j0nkkRKXsP1zMt9U9J8/NNb3Fwu7eQ5mKxCROTYpHYk7pTJZMNnfK4hFA0O89OhtJCFF+6eHtGMqOp2vLKV9nNG1GMzIYMwcqFJkQjW3P9AFQsNY397wjgCZHEJfhYjA7WsHIhGhsO8eLF52nd7lP+pquoBO3lqc/IktjhKiUgdECYLJuxclzc8NKF2ByaFRuhlYDKR6JOcWODMEO+OYelj3L5/WSyebI5mRLcCEqIT++g7hjJYFA6JSv01tOB6Aw+VwFohJC7I8NAC92F81FKUW7amHUmKhUWEI0vH1TBRyqwJrWuWd4QjE3O1w5hhKy45oQlTIyqfC5M3jdJx+I7XHb8LkzjExK2aIayL+CmNPsHKP5Oo/83mKbbzyRLHtMQgjQpneScK3FdyT3TsbRcSYAmdGnKxGWEA1vMDOKbmr0eDtP+bpuewfT2jSFgtxFFaISBmPQ4cyhaae+7OnxGoynZVcnISplImKnNTh/A0KzP8dUdO5NYkRlSfFIzCmeSGLTdVxOxylf5/MW2wxjcSkeCVFuZmYGPTNBzrd23g/BvmArKXsnufFnKxSdEI1tIh8mZAbR1alzs9vVQU7LMxQbr1BkQjS28bSNTs/8y9H6Ahrxgp2puHTTC1Fu+bxBNOmko3n+3GxrMphJODEMWVZqNSkeiTnFkym8XvdJd1qb5fUUXyOdR0KUX2HqheIfguvnfa3f5yXuXIU59XyZoxJCAEwRoVVrmfd1K7w9APRHB8sdkhANL5nJE8nb6fXPvxxtbXOx62jXmHymFaLcBscymKZGZ8v8udnZoigYOqOTUti1mhSPxJziiSQ+z6mXxQBomobX45bikRAVUJjaBYDesnne17qcDlKu1eixA5gF+WUrRDmlsxmieoxOR+u8r10b6APgcGK43GEJ0fD2TaQBxcrQ/Ete1rcXZyLtm5Qd14Qot4GRYp71dMy/VLT3yGv6h2XHNatJ8UicwDAMkqk0Xu/JJ98fy+f1EJPikRBllx1/HgMdZ+uGeV+rlKIQ2IAyc7LjmhBlNjAzjKEMelynnncE0OlpRzM1hjNjFYhMiMa2bzINwJrWU49hANjQ7kbDpD+SL3dYQjS84Ylinq3ocs772lXdxdcMjsnNUKtJ8UicIJlKY5omPs/Cikd+r5t4IoVpmmWOTIjGlp/cRcrRg88fWNDrtabi8jZjem85wxKi4fXHhwBY6euZ97W60giZAcYL4XKHJUTDOzRdvEDd0D7/Z1qHTafZnuVwtNxRCSFGwya6VqBrAYXdrjYHmlZgZFKuNa0mxSNxgngyBTDvbk6zfF7P0W4lIUT5mJEXSDj6FpybjtZNAORnZyUJIcpiMDUCwOpA74Je36o1EzanyxmSEAI4HDVxa3laffNfoAK0uwuMp+TySIhym5zRCHiy824AA6DrGkFPlolpyU2ryb+AOEEiMVs8WljnkfdIh1LiSNFJCFF6ppFHi/WTcvbhds3f4gvgaeomp/vJTu4qc3RCNLaR7AR2006Ls2lBr++wtxHVY2RyMltFiHIaTijanAtf6tLlgXDWLrs6CVFmkZiNJv/Cl4g2B3JMx+xljEgshBSPxAniySQ2XcfpWNhdmtnikXQeCVE+xsxBlJkj71+3oLs0AF63m6S9l8KULFsTopwmCpM0mcF5dyid1ePqxFAGg9HRMkcmRGMbz9jo8iy8ENQT0MiYOpNxmXskRLkUCgaxpJPW0MJzszVkEks5KBSksGslKR6JE8QTKbxe94I/BLtdTpRS0nkkRBkZU7uLfwjNPyx7lsfjJunogZl9ZYpKCAEwzQytesuCX9/n7QKgPz5YrpCEaHiJTJ5o3k6Pf2GfZwH6juzKtn9SPtMKUS7DExkMU6OzdeG52d6sME2N0bAMzbaSFI/ECRLJFD7PwmaqAGiahsftlOKREGVUODL02t6y8OKRy+kg5exDTw1j5iQ/hSiHZCZFXEvQaW9d8HtW+YuDtYdSsuOaEOWyd6LYEb8qNP9W4LNWNxeXhR+akiWlQpTLoeFifvW0L3wZWldrsbB7eDRTlpjEwkjxSBzHMAwSyWLn0WJ43W4SsmxNiLLJTe0jp3nxBLsX/B6lFIZ/NQBGRLqPhCiHgdgIpjLpdncs+D3t7hY0U2MsO1nGyIRobAfDR4pHLQsbwwCwttUFwECkUJaYhBAwNF5cFrqia+G52dNRfO3IhCwptZIUj8Rx0pkMpmkenWO0UB6Pm6R0HglRNvnpfaTsXYsu7KrgegCMiMw9EqIchuLF7qEez8KLR7qmEzD9hPOy45oQ5TJ4pAC0ptm14Pf43XZ8eo7huMxVEaJcxqdMNGXQ1brw4lFvuxMwGZuS3LSSFI/EcRLJ4l0ar3vhv2gBvB4XmWyOXF6qwUKUgzlzgLSjC497ccUj25FlboWpPeUIS4iGN5IeB6DP17Wo9zWpIFNmpAwRCSEARuIGNmXQHljcDk0tjjyjSblEEqJcpqIKryuLri88zxwOHY8zSziy8DlJovTkJ6M4zuyOaZ5FF4+O7LiWlKVrQpSaaRpoicMkHd2Lzk1PoI2M3kReikdClMV4NowyFR2ehc88AmjVm4mqGKZplikyIRrbWBKa7bkF71A6q8NtMJnRyxSVECIS1wl6F99wEPDmmI5JblpJikfiOLPFI7drkcWjI90QiZQsXROi1MzYEMrIknP3YrMt7pemx+Mi7egkP72/TNEJ0djC+Sl8phddLS43250tZLUs4WSkPIEJ0eAm0xotzsXPLuryKWbydjI5mXskRDnEkg5C/sXnV3PAIJpYXCehKC0pHonjJFNpXE7HotoI4cXOI9lxTYjSM2YOAGD6Vi36vV63m5S9CzPaX9qghBAATJszhAgu+n2zA7YHYsOlDkkIAUxlbXQsfPPgo/qCOiaK/inZ1UmIUkul82RydlpCi39va8gklXWQSsuYFKtI8UgcJ5lKL3pZDIDdbsNm04/OTBJClM5s8UgLrVn0e70eFyl7Jyo5hGnIL1shSsk0TaLEaLGFFv3eXk8nAEOJ0RJHJYSIJHOkDBudvsXPR1nRVOxsODApn2mFKLXBsWJRtr1p8WWI9mbtuGOIypPikTjOUotHSim8Hrd0HglRBoXIfkw07KFVi36vzWYj7+5FmQXM2GDpgxOigSWzKZJ6ilZ786LfuzLQA7w4cFsIUToHw8XCT09g8fNRVrcUPwcfjuRKGpMQAobHi3nV2Wpb9Hu724qF3aFxyU2rSPFIHGWa5pHi0eJ2c5rldbtJyswjIUouP7WPtL0Dr9e/tAMEVgJgzBwsYVRCiMFYsWuo09W26PcGHD4choPx3FSpwxKi4Q1MZwFYEVr4VuCzepucKEyGY7IluBClNjZVnHXU3b6E3Owovmd0UuaRWUWKR+KodCaLaZpL6jyC4g5tyVRGdo4RosQKkf2k7F24l5ibWrC43E2KR0KU1mBiDHhxftFiBfETLkyXMiQhBHA4UlymvarFuej32nWNoC3HeEI+zwpRahPTJkoZdLUuvnjU3mxHUwYT05KbVpHikTgqeWTJmcez9OJRoVAgm5O5KkKUkhk9SMrRdXRXw8Wyh1ZhoFE4MjtJCFEao0eWnPX5u5b0/mYtRISZUoYkhABG4gY2ZdAVXPwFKkCzs8BEWi6ThCi1qajC68wuenMmAF3X8LmzhGckN60iX3lxVDJVXB++1M4jt9t53HGEEMtnZmNomTApe9fSuwI9PjL2dvLT+0ocnRCNbTwTRpmKDnfLkt7fqjcT0+IUDGnBF6KUxhLQZMuhaUu71GlzmUxlFz8vSQhxapGYjt+79EaDgDfHTEJy0ypSPBJHLbd4NPs+KR4JUTpGpNgtlHX3YrcvfrggFHMzZe+kEJFla0KU0mR+Gr/pxaYtLTc7nG0YymAkPlHiyIRobJNpjRbX0ouyHV6I5u1k81LYFaKUYkk7Tf6l51XIZxBL2ksYkVgMKR6JoxKpNE6HHZu+tGrubPEoJcUjIUrm6Jwi/6olH8PjdpG2d2JG+0sSkxCiaNqMECS45Pd3udoBGIyPlCokIQQwlbXR7l76XJRuv46JYmBKtgQXolQy2QKprIPmwNKP0RKETM5OKi1jUqxQ1uKRUupqpdQLSql9SqmPz/H8CqXUfUqpp5RSzyilri1nPOLUijutLa3rCMBht6PrmnQe1QDJzdphxA4BoAdXLfkYHreLlKMLLT2OmZMdEauZ5GZtmSFGix5a8vt7vZ0ADKfGSxSRKBfJzdoRTedJGjY6fWrJx+gNFbsJD0nxqOpJbtaOofHiLojtzUsvQbQ1accdS1RW2YpHSikd+ApwDXAacKNS6rSXvOwTwI9M0zwbeCvw1XLFI+a33OKRUurIjmtSPKpmkpu1xYgeoqCcOAOdSz6G3W4j5+w5crz+EkUmSk1ys7YksilSeopWe/OSjzE7aHs0I8vWqpnkZm3pnyx+Du0NLG05KcDKpuIcz8GZXEliEuUhuVlbho8UfDpblz6zqKOl+N6RCclNK5Sz8+h8YJ9pmgdM08wCPwBe95LXmMBs41oQGC5jPOIUTNNcdvEIkOJRbZDcrCH5SD9pezueJe60Nsv0rwSOWQYnqpHkZg0ZjI0C0OlsW/IxPA4X7oKbidxUqcIS5SG5WUMOTRcvUPtCS5+LsrK5WDwajsrMoyonuVlDRsPFfOpuW9ouiADd7cX3joUlN61QzuJRD3D4mL8PHnnsWJ8E3q6UGgTuAv58rgMppd6rlNqulNo+MSF358ohk81hGMayL1A9Like1QDJzRpSiB4ibe/A41leYVcLrgakeFTlJDdryFCiWDzq9nYs6zhB/EwVpksRkigfyc0aMjhTnIWyqsW55GN4nDZ8eo7RxNLnJomKkNysIRNTBgpzWcWjrlYHCpOJiFHCyMRCWT0w+0bgJtM0e4Frge8qpU6IyTTNb5imuc00zW1tbUu/wydObrk7rc3yuF1kcznysjtFrZPcrBJm7PCRzqPl5aYj2IOh7BixgRJFJiwiuVklRlLFi4s+39KXlAI0qRARoqUISVhLcrNKDMUK6Bh0h5ZePAJochSYSC19bpKoGpKbVWIqqnA7s9jtS1+2ZrfruJ1ZpmYkN61QzuLRENB3zN97jzx2rD8FfgRgmuYjgAtoLWNM4iSSqeIQ3eVeoLqPvF+6j6qa5GaNMPNptPREsfNouV2BHjdpWxuFmUMlik6UgeRmDRnPTqJMRYdneRcZLbYm4ipB3pCdY6qY5GYNGU9Akz2Hri3vMqfVZRDOLP0iV1SE5GYNmY7pBLzLn1Xk9+SJxK3ugWlM5fyqPw6sV0qtVko5KA4ou/0lrxkArgRQSm2mmMzSJ2iBUnYeASTTUjyqYpKbNcKIFTuxs45OHPalD/6EYm6m7R0UZvpLEJkoE8nNGjKZn8Zv+LBpy7u47HC2YCqT0eRkiSITZSC5WUPG0xotzuV3wHd4IJKzUzBkeUwVk9ysIbGknZBv+bkZ8hWIJZc+00wsXdmKR6Zp5oEPAvcCuyhOuX9eKfWPSqnrj7zsw8B7lFJPA/8DvMs0TVlcbIFkMo3dbsNeggtUkM6jaia5WTvMaLFLSPn6UGp57bnF4lG7LFurYpKbtWXaiBBUgflfOI9OVzsAh+Mjyz6WKA/JzdoylbHR7l7+l77Lp1FAY2RGtgSvVpKbtSObLZDM2GkOLv9YzQGTZNpBoSCF3UpbXqVgHqZp3kVxMNmxj/3DMX/eCbysnDGIhSnFTmsAbpcTpZQUj6qc5GZtMKLFQo8KrFz2sWaLR2pmFLOQQ+lyx6YaSW7WjhkVZYO+dtnH6fV2wDQMJ8dKEJUoF8nN2pDIFEgaNjq8yy/49AaLl0mHpjL0Ni3/M7IoD8nN2jAymQN02puWP6uotUlhohiZzNLbIblZSbJYUAClKx4ppXC7nKSkeCTEshnRQ5goHKEVyz6W0+Eg6+hAYWLGXzoOQAixGMlcipSWps3evOxj9fo7wYSxjCxbE2K5DoaLnz97AsufVbSiqbgj1OGIdB4JsVzDE8U86mhZfu9KR3Mxv0fGJTcrTYpHAtM0S1Y8gmKHg3QeCbF8+Zl+MrYWPF7/so+llML0FmdKytI1IZZnMDYKQIdz+TvyeBxuvIaHiVx42ccSotENTGcA6A0tv7t2dUvxc/FQVHYQFmK5RieLm0J0ty0/N7uOHGP2mKJypHgkyOby5AsFvMvczWmWFI+EKI1CpL+405qnNIVdLVDsYDKisuOaEMsxmCgWj3rc7cs+llKKgOknXIgs+1hCNLrBSPFiclWzc9nHCnntuLQ8o3EZjyPEco1PmYBJT7tj2cfqaS/m9/i0zDyqNCkeiaOFHncJO49S6QyG7E4hxLIYsQHS9vaSdQXagsXZSbOzlIQQSzOSKm7U0+PrKsnxmrQgEXOmJMcSopGNxApomPQ2Lb94BNBkzzOeLMmhhGhoU1FwO3I4nctftub12HDac0zJr82Kk+KRIJlKAeAt0QXqbBEqlc6U5HhCNCLTNFDJ4WLnUYm6At2+EFk9RGFGOo+EWI7xzCSaqdHlW/6yNYAWvYm4SpAzpAVfiOUYTULAlsNuW/7MI4AWl0E4U5pjCdHIIjENvydXsuP53Dmm41LKqDT5ioujnUclm3nkch13XCHE4pmJMZSRJePowOkozc5oxR3XOsjPHCzJ8YRoVJP5aXyGF5tWmovKdkcrKBhLydBsIZZjMqVodpRuRlG722Qqa0N2dhdieaJJG0Ff6XIz6M0TTZR143gxBykeCZKpNDZdx24vTQLOFqGkeCTE0h0dau3tRanlb2sKs8Wjdlm2JsQyTRsRgipQsuN1uoodTIfjIyU7phCNaCqr0+Yu3diELp9G1tSZSkhXoBBLVSgYJNIOmgOlK8I2BUziKYeMSakwKR6Jozutle4C1Xn0uEKIpZkdaq2ODLkuhdnikUoMyl1UIZZhRsVo1kIlO16vtxOA4eRYyY4pRKPJ5gtE83Y6vKX5PAvQEyx2Fx4My2daIZZqLJzDNDVaQ6XLzZYQFAydqagUditJikeCZCpdsmHZALqu43Q4pHgkxDKYR7qD7MFVJTum2+Ukbe9A5ZOY6emSHVeIRpLKp0lpKVrtzSU7ZrevHWUqRjMTJTumEI3m8HQWE0W3v3SXNytCxZ2hBqazJTumEI1meKKYP+0tpZsf1t5cPNbwuMzYrSQpHomjnUel5HG7pHgkxDIUZvrJaV5cgdIM5AXQNA3D0wOAGZWh2UIsxeFYcWlZh7O1ZMf0uT14Cx4msuGSHVOIRnNoqngR2RsszZxAgJUtxW76wRnpbhBiqUYni/nT3Va63OxqLY5bGZmU3KwkKR41uFw+Ty6XL33xyCPFIyGWIxfpJ21vL3luKn8fcMxMJSHEogwlRgHodreX7JhKKQKmn3BBOgKFWKrDkeJOTiuaHCU7ZoffgV0VGI3LXBUhlmp8qpg/3e2ly83udteRY5duCLeYnxSPGlypd1qb5XG7SKXTMldFiCUyoodI2ztKnpu24Mojx5fikRBLMZIqLi3r9XWW9LhNKkjEjJb0mEI0kuFY8SJyRUvpfm9qmkbInmcsWbJDCtFwwjPgsOUJeEvXedQc0NG1AuFIyQ4pFkCKRw2unMUjwzBJZ2SNuBBLEj9MpgydR85ANwXloCDL1oRYkrHMJJqp0e0rXecRQIutiYSWJGPI700hlmIsYeLVcvicpd2+u9VZYDItl0xCLFUkpvC5S/u7TdM0fO4s09HSDeEW85OfhA2unMWjY48vhFg4MxtDy82QtnficjpLemyPx03a3k4+crCkxxWiUUzmp/EZXmx6aS9Q2x3FGUpj6cmSHleIRjGRVDQ7Sr+Epd1tMpUtbb4L0UiiCRtBb+lzM+AtMJOQ3KwkKR41uFQqjaYpXM7SrUEF8B4tHqVKelwhGsHskrKCpxtNK+2PaY+7WDySziMhlmbaiBAkUPLjdrmLw/EH4yMlP7YQjSCc0Wh1lX42UYdPkTJszKRlMK8Qi2UYBvG0g6ZA6XOzyW8QT5ZuKZyYnxSPGlwylcbtcqFUaVv+pPNIiKWbHWat+VeW/Nget4uMrR1igyU/thCNYIYozVqw5Mft8RRnKA0nx0t+bCHqnWEYRPJ22r2lP3ZvoNjZ0D8pn2mFWKxIrEC+oNMSLP3yspYgZPJ24olcyY8t5ibFowaXTKVLvmQNwGaz4bDbSSblF60Qi2Uc6QrSg+UoHjlJ2zvQ0mOY+UzJjy9EPUsXMqS0NK325pIfu8vXhmZqjKYnSn5sIerdaDRH3tTo8pX+ArUvVOxsGJiWeWRCLNbQWPGzZntz6csObUeOOTQuuVkpUjxqcOUqHkGxwyGZluKREItlzBzCwIYj1FfyY+u6Tt7dXTxPXLqPhFiMwfgoAB1H5hOVktftxlvwMJ4Ll/zYQtS7Q1PFz5s9wdLPP1nZXJw9eDgiy9aEWKzRyWLedLWWPjc7W4qF3ZEJ6TyqFCkeNbBCwSCdyZa3eCSdR0IsWi5ykIy9DY/HU5bjK3+xKGUema0khFiYwUSxeNTlLu1Oa1DcOSZg+pkqTJf82ELUu8PTxYvHvlBpZ3gC9DQ50TEYiZd+4K8Q9W5sqpg3Pe2l3QCmeEzHkXNIYbdSpHjUwFLp8uy0NsvjdpFMpTFNsyzHF6JeFaKHSNvb8bjKk5t6YBXw4mwlIcTCjCTHAOj1dZbl+E0qyLQ5U5ZjC1HPhqLFi8dVLaX/valrGiF7jrFEyQ8tRN2bjJjoWoHmUOk7jzpabChMJiNyrVkpUjxqYLPDrMtWPPK4KBgGmay0EgqxKLHDxeJRmXLTHloBgDHTX5bjC1GvxrJhNFOjy9dWluO32JpIqTTpgswjE2IxRuImDlWgxVuenZdanAUm0nLZJMRiTUc1fK5syXcPBtB1DY8ry1S09LPOxNzkp2ADK3vxSHZcE2LRTCOPSo2StnXgcZe+xRfA4wuS0ZvJRfrLcnwh6tVkbgpfwYvDXvqlMQDt9hYAxjIyNFuIxRhPQZMjV/Ldg2e1uU2ms3pZji1EPZtJ6Pi95VtWFvDkmYlLblaKFI8a2GxRx+0q0wWqFI+EWDQzPoIyC+TdXeh6eX4Zetxu0vYO8jOHynJ8IerVVCFCEH/Zjt/l7gBeHMwthFiYcFqj1WmU7fidXkW8YCeRkblHQixGPGWnyV++3Az5DWLJ8nQcihNJ8aiBJVNpXC5nWdoIQYpHQizF0TlEvtLvtDbL43aRtrdjyswjIRYlQpQmLVS243d7isWjoSOzlYQQCzOds9HuKd/ck+5A8WbO7K5uQoj5JVJ5Mjk7LcHynaMlaJLMOEhnZGh2JUjxqIElU+myLVkDcNjt2G02kqlU2c4hRL0xjuyApgdWlu0cs8UjLTEoA+2FWKBUPk1aS9Nqby7bObp8reimzqgsWxNiwSLJHGnDRqevfJc1faFiZ8PAlMwjE2KhhsaL+dLWVL7c7GjWAMXwuORmJUjxqIElU+my7eY0a3bHNSHEwhjR4lIye6h8xSObTSfv6kYZGczUZNnOI0Q9GU6NA9DhaC3bOTxuF968h4lsuGznEKLe9E8WP2d2+8s392RVc3HEw8CMdDcIsVAjE8VNkzpaSr/T2qzO1uKxh8Zlg6ZKkOJRgzJNk1Q6U9bOI5DikRCLlZvpJ6f7cftbynoe09cLvFisEkKc2uH4CABd7vLstAag6zoB00+4ECnbOYSoNwORLAB9TeUZZA/Q2+REYTISk5lHQizUWLiYLz3t5cvNno7isUfDkpuVIMWjBpVKZzBNs2LFI1kaI8TCFCL9R3ZaK29uaoEVADL3SIgFGkkWO496vJ1lPU+TCjJtzpT1HELUk8Ej3UCz3UHl4LDpBG05xuLyeVaIhZqMmChMOlvLVzzqarWjMJmYktysBCkeNajUkW6gShSP8vkCuby0+QqxEEbsMGl7e9lz0xFaDUBBOo+EWJCxzCS6qdPlK1/nEUCrrZmMypAoyLxAIRZiJGagY9AVLN8FKkCLs8B4Wi6dhFioqRmFx5XFZitf3thsGh5XlnBUle0c4kXyE7BBJStYPAJIJmXpmhALoRKDFSkeuQId5JWL/PTBsp5HiHoxmZvCW/DgdJT3ArXNUVyyOp6ReWRCLMRoEkL2HHqZdg+e1eYymcqUb3aLEPUmEtcJeMo/iyjozRGJlW/mmXiRFI8aVMWKRx7XcecTQpycmYmi5aLknJ3Y7eX9gOrxeMjY28nP9Jf1PELUiykjQpAASpX37maXqx2AwcRoWc8jRL2YSGm0Ocs/76TTB9GCjUxOZqsIsRDRhJ2Q3yj7eUJ+g1jSXvbzCCkeNaxEKoXTYcdmK2+V9mjnkRSPhJiXETsMvDjMupw8bhcpewdGVGYeCbEQEXOGZhUs+3l6PB0ADCfGyn4uIepBOGujw1P+eSddfh1QDEzJluBCzCeVLpDKOmhrKn9utoZMUlkHqbSMSSk3KR41qEQyjcfjLvt5HHY7uq5L8UiIBTCODK/W/SvLfi6P20XG3o6KD5b9XELUumQ+RVrL0Gov7y6IAG2+ZmyGjdHMRNnPJUStiyRzpAwbXf7yzzvpCxU7gg9NS/FIiPkMjhXzpL2p/OWG2XMMjWfLfq5GJ8WjBpVIpvC6y188UkrhcbtIpGTwpxDzMY4Mr7Y3rSr7uex2G1lnF1o2jJmT/BTiVIaP7LTW4Wwt+7m8bje+gpfxbLjs5xKi1h2YKN6cXBEs/yyilU3F3dwOR8o/w0WIWjc0XsyTrrby52ZXW3ElzdCY5Ga5SfGoARmGQSqdwesp77yjWR63SzqPhFiA7NQBDHRcTX0VOd/s8rjZ5XJCiLkNxkcA6Pa0l/1cNptOwPARLkyX/VxC1LqDR7qAVjaXd5B98RwuwGQ4Wv4ZLkLUupHJ4hKyvk5n2c/V01HM/7EpmUdWblI8akCpdAbTNPFWYNkaSPFIiIXKR/rJ2NvweH0VOZ/mXwG82PEkhJjbUKo4f6jX21WR84W0IBEzimmWf1aEELXscKR4gbqmtfyfaV0OnYCeZyQhxSMh5jMxZaJpBTpayj/IuqPZgaYMxqfkd2a5lbV4pJS6Win1glJqn1Lq4yd5zZuVUjuVUs8rpb5fznhEUSJZXKJSyeJRLpcnl5MhZtVCcrM6GbEB0vb2iiwpBbAFi7OVpHhUPSQ3q9NYehLd0On0l3/ZGkCL3kRWZYkXkhU5n5if5GZ1Go6ZOFWBFm/5l8YANDvyTKbk3ns1kdysTuEZDb87i6aVP19sNh2vK8tUtPyzzxpd2X7SKqV04CvAq4BB4HGl1O2mae485jXrgb8FXmaa5rRSqvz94ILEkS6g2Z3Qym12eVwylSZor0xHhTg5yc0qFh8kbd9csdx0Nq3CRCMX6af8TcViPpKb1WsyN4Xf8OGwV2Yr4A5HK+RhPDOJ3+atyDnFyUluVq/RJLQ4chW5QAVoc5vsjVamUCXmJ7lZvSJxnaC3co0DAW+OSKy8u4iLBXQeKaX+XCnVtIRjnw/sM03zgGmaWeAHwOte8pr3AF8xTXMawDTN8SWcRyxSIplCKYXbVZnLxdkOp3hShvKWkuRmfTGNAnp6lIK7C12vzIdgry9AxtZCLnKgIudrFJKb9WfKiBAkULHzdbmL1zaHEyMVO2cjkNysP5NpnTZX5ZaRdftgJm8nk5PZKqUkuVlfDMMgmnTQHKxcbjYFDKLJytzgaWQLuULpoFjF/dGRtsCF9oP1AMdOYR088tixNgAblFIPKaV+r5S6eoHHFsuQTKbwuF0Vu0szWzxKSPGo1CQ364iZGEGZBUxfZYZlQzE30/Z2jJmBip2zQUhu1pkZojTroYqdr9dXnK00nBir2DkbhORmHTEMg6mcnc4KNrX3BnVMFAcnZZZniUlu1pFIrEC+YKMtVLllZG0hyOTsxJMyJqWc5q0emKb5CWA98C3gXcBepdT/VUqtLcH5bUeOfRlwI/BNpVTopS9SSr1XKbVdKbV9YmKiBKdtbIlkGm+FlsUAOOx27HabFI9KTHKzvhjRYgFndoh1JXg9LtL2dogPVuycjUBys77EcgkyWpZWe3PFztnma8Ju2BlJy79dKUlu1pfhmSx5U6PHX7kZRKuP7Oq2P5yp2DkbgeRmfTk8WiyudrRWbhlZZ0vxXIdHJDfLaUE/bc3idh+jR/6XB5qAnyil/uUUbxsCjr2F3nvksWMNArebppkzTfMgsIdicr/0/N8wTXObaZrb2traFhKyOIVEKoWnQsOyZ3k9bhJJGfxZapKb9SM/0w+APbSyYufUdZ28qxstNYxpyu4xpSS5WT8G46MAdLoq93X0uF34Cl4mcuGKnbNRSG7WjwOTxYvEvlDllqqsbS3efD00navYORuF5Gb9GB4vdv/0tFVuPljXkXMNjWcrds5GtJCZR3+plHoC+BfgIWCLaZrvB84F3nCKtz4OrFdKrVZKOYC3Are/5DW3UqwCo5RqpdhWKMM3yiiXz5PN5o4Osa4Un8ctnUclJrlZX7JTxS+vs2VNRc9renvRzBymLI8pGcnN+nI4PgxAj6dyM1Y1TSNo+pkqRCp2zkYguVlfDk0XLxJnu4EqoSfkwKYMBqNyw6WUJDfry2i4mB99nZXbjqWvq3htOxaWeWTltJByYDPwetM0j9vL2TRNQyl13cneZJpmXin1QeBeQAe+bZrm80qpfwS2m6Z5+5HnXq2U2gkUgI+apim32coomSy2EXot6DwaGp3AMIyKzVpqAJKbdSQX6cfUvHgDld0ERA8Ul8kZsQG0I3NWxLJJbtaR4VSxsLrS/9IxGuXVrDcxyAimabLw8R9iHpKbdWRwJg84WN1auRuimqbRYs8xkqjYKRuF5GYdmYyYOGw5gn5Pxc7ZErRh0zKMT1fslA1p3uKRaZr/+xTP7ZrnvXcBd73ksX845s8m8NdH/icqYLb7x+teWPEoNzlJ+O67iW3fTvrgQQrpNLZAAPeaNQQuvpjmV70K3Tv/NsJejxvTNEmm0vi8lftBUs8kN+tLIXqIrL2dlgoXdu3NqwHIRw5i67qgoueuV5Kb9WU0M4HDsNPmrdzMI4A2ezN5I89MPkbIXrmd3uqZ5GZ9GYmb+PUcXmfllsYAtLsLjKdkS/BSktysL1NRDb+nsks7lVL4vVkmZ6RJoZwq+9NWWG62eDTfzKPs+DhDX/0qE7fcAoUCzr4+PBs2oHm95CMRoo8+SvjOOxn47GfpuPFGut7zHnTPyYtCx+64JsUjIU6k4oNk7B24nJVrvwdwNhdnUWbC+6nsYlYhasNEfoqAEah412yHsw1SMJwcIxSU4pEQLzWW0mhxVn5npS4v7IrapZteiJOYidvpaK787KFmf56JiJQ3ykm+ug0mkUpjs+k47Cf/p5+84w4OffrTGKkU7W95Cx1vfSvutcdvdmCaJvGnn2bs5psZ/sY3mLzjDtZ+9rP4zz13zmMeWzwSQpxITw5RaDm94stTvKFO8poXM9Jf0fMKUSumzAgdqvLDU3s8HZAqDuw+LXjCbFchGt5E2sZpocoPru4NaOSHNYYiWfqa5baLEMcqFAziaQenBStfPGprMjg44iSfL2CzSXdgOUi5vMEkkim8bvecF6hmocChf/onDvzN3+Beu5Ytt9/Oqr/7uxMKR3CkNfCss1j3r//K5ptvRtls7P6TP2Hs+9+f87xulxNN00gcmbkkhHiRmZ5GL8QwvCsqfm6vx03K3o4RPTT/i4VoMAWzQFTFaLVVdskaQJ+/OINsKCXD7IV4qUSmQLRgp9tf+XOvbCru7rZ/Uj7TCvFSg2MZTFOjo6Xy5+5o0TBMTXZcKyMpHjWYeCKJz3vikjUjl2PfRz7C2H//Nx3veAebv/MdXCsXtmW4/9xzOf1HPyL4spdx6DOfYehrX6O4vPhFSim8Hpd0Hgkxh8LMQQD00OqKn9tht5F1dEJ8sOLnFqLaDSfHMZVJl6PynUetvhDOgoPx9GTFzy1Etds3Xvw8uSpU+UUUa1uKO0j1T8kFqhAvdWi4mBe97faKn7unrfjz4PCo5Ga5SPGogRiGQTKVxvuSmUOmYXDw7/+e6V/8gr6PfpSVH/84yra4X8Y2v5/1//7vtFx/PUNf/jIj//mfJ7zG63FL8UiIOWQm9wJgb1pX8XMrpSi4u9FTwxU/txDVrj86BECPp7Pi57bZbPgNPxP5qYqfW4hqty9c7PpZ01rZOYEAq1tdKEwOz8iW4EK81NBEcQ7Ziu7K5+bsOYfGKz8LrVHIzKMGkkylMU0T30uGZR/+/OcJ//zn9P7lX9L1rnct+fjKZmPNZz4DhQKD//ZvOLq6aL3uxd01vR43E+GIbDssxEukJ/dgA9xtFs018fVhG5/BzMZRDp81MQhRhQYTIwCsCHRbcv6QFiBsyL7DQrxU/3QesLOhvbI7lAI47TpBW47heMVPLUTVGwub6FqBLgsKu50tDnQty2i44qduGNJ51EDiiSTAcbudTd5xB6Pf+Q7tf/iHdL3nPcs+h9I0Vn/60/jPO4+Df/d3xJ999uhzPo+bQqFAJlv54YZCVLN85CB5zYu3yZoLVD1QXKJakLlHQhxnJDOOZmr0+SvfeQTQqjcTVVEM07Dk/EJUq8GoiUfL0+yt/AUqQJsrz1hKboQK8VKTEY2AJ2PJToS6ruF3Z5mMSG6WixSPGkg8UVwyNls8Su7dS/8nP4n/3HNZ8bGPlawbSHM4WP9v/4a9rY39H/kI+WgUkB3XhDgZM3qQlKPzaI5Umr25OGspNbHXkvMLUa3Gc2EChh+7rfKzGwDaHC0UlMFUZsaS8wtRrUYSinandTcjOz0mkxlrfi4IUc2mY3aaA9YtG2vy54jEZHFVuUjxqIHEk0lsNh2nw46RzbL/Yx9D93pZ+4UvoNlL+wvQFgqx9vOfJzs6Sv8nPwkcWzxKlvRcQtQ6FR8g7+qxbDmnq7W4XC4TluKREMcKF6ZpImjZ+btc7QAMxIYsi0GIajSettHpMed/YZn0+jWSho3phHTTCzErlysQSzloC1mXm60hg2jSSaEgHbvlIMWjBhJPpPB5PCilGP7610nt2cPqf/xHHG3l2UXGf9ZZ9Hzwg0zdey9T996L1+NGKUUsIZ1HQswyTRN7ehjDu8KyGDwtqygoB/mpfZbFIES1MU2TGS1Km82C/YaP6PV1AHA4MWpZDEJUm3gmT7RgpzdgXQwrm4qdDS+MyQ1RIWYNjmUwTY3OVutKDB0tGoapMTIphd1ykOJRA4knkvi8bhI7dzL8n/9Jy/XXE3rFK8p6zq4//mM8p51G/2c+gxGN4nG7iMflF60Qs4zkOLqRRjsyd8gKHrebtKMbI3rAshiEqDbjqSnyKk+nozw3WBZiZbAHgJHUuGUxCFFt9o4Vb0KuClm3NGV9m6sYy6RsCS7ErEMjxXzo7bAuN3vai+ceGMlYFkM9k+JRgygUDJKpNF63i/7/83+wNzWx8uMfL/t5lc3Gmk99isLMDANf+AJ+r+fo4G4hBKQm9gCgN6+1LAalFDl3L1pcBmYLMat/ZhCAHk+HZTH4nV48BTejmQnLYhCi2uyfLF4Urm5xWhbDhnY3CvPIrm9CCIDhiQIAq3qsy81V3cVzD45J51E5SPGoQSRSxbs0+iO/I/Hcc/T99V9jC1ZmjoNn0yY63vEOJn/2Mzxjw8QTSUzTurWwQlST9JHikatlvaVxGL5VOFKDkptCHHE4MQzACr81uyDOaiLEREH2HRZiVn+keFG4scOaTSYA3A6dJnuOwzHLQhCi6oyGTWx6gbYm64bJd7U50JTB6KR8ni0HKR41iHgiiUqnSHz7W3jPPJOW1762oufv/v/+P2xNTZjfvYlCoUAqna7o+YWoVtkjc4Y87RstjUMLrkY3UuTjMltFCIDB9BjKVKwK9FoaR7uthWkVsTQGIarJ4aiJV8sR8li721mHK89IUi6lhJg1GdEIeDJomnV5oevFGCYi1mxCU+/kJ16DSCRS+O/7JYWpKVb+7d+iKpzUNr+f3j//c3LPPYf7mR3EZO6REAAYM/3k9ACeQKulcTiOdD4lx3ZZGocQ1WIsN07A8OO0OSyNo8vRQVrLMJWKWBqHENViNKHR5rJ+uVifHyayDgqG7OokBEAkZqc5YH1uNgfzTEWtLS7XKykeNYjY8Aj+3z1A8zXX4DvzTEtiaHvDG3CtW0fg3juIRaXPVwgAFT9E1tWDUtbeIXG1bQYgPb7b0jiEqBYTxhQtqsnqMFjhKS6b2z8zYHEkQlSHsYyNbq/1S1JWhjTypsbAlAzmFSKbLRBPO2hvsj43O5pNYiknmWzB6lDqjhSPGkT6pz+GXI6eD3zAshiUrtPzgQ9gnxhn5t57LYtDiGpiSw5Q8KywOgx8ncVlc7npfRZHIoT18kaBiDZDu83ajkCA1f4+APrjgxZHIoT1wvEc8YKdlQGrI4F1LcWuxBeO7P4mRCPrH05jmhrd7daXF3raFaapcWhYxqSUmvX/uqLssuPj6Pf9Cu2SS3GvXm1pLM2vfCWF3j5yP/4hZt76tkYhrJTPpnFmRiBk3U5rs+wuPxl7G+bMAatDEcJyg7FRDGXQ6+q0OhRWBbvRTI3BlMwjE2LnaHHswboW65ekbGgvDuzeH5ZdnYQ4MJQFYHW39bm5qqsYw8HhrMWR1B8pHjWAwW9+EwoFfO94p9WhoDQN25veijY+xuTPf251OEJYKjG2C4WBvdnaYdmzcu5eVFyWxghxIFrMg5XeHosjAbtuJ2D4GctPWB2KEJbbM1FcIrbJwp3WZvWEHDhUgUMzMvNIiMHRYh6s7XNZHAmsPhLD4KgsWys1KR7VuVwkQviWW0ievY3Q+nVWhwOA7xWvINvdy/C3voUpQwZFA0uOPQ+Aq/00iyMpMn2rcKQOY5rWr1cXwkoDiWEA1oVWWhxJUavWxIQxZXUYQljuwHQBHYM1rdZfoGqaRrszx1Dc6kiEsN5oGLyuDF6Ld0EECHjteJwZRsOy41qpSfGozo3/4AeY6TSxy64k4PNaHQ4AAZ+X2GVXkjl4kMiDD1odjhCWyU2+AIC36wyLIynSgmtw5idJJ6NWhyKEpYYyozgMO23uZqtDAaDD1saMFiVvyF1U0dgOx6DNmcVu060OBYBuT4HRtM3qMISw3ETERrO/epaJNfmzTM5IbpaaFI/qmJHJMPb976OdfQ5mdy8et/V3aQB8Xg+pM89Ga2tn9KabrA5HCMsYkb3kNS82X4fVoQBgb1kPQGJMdlwTjW0sP0kTITStOj4m9bg6MZTBQHTI6lCEsNRI0kaPp3q61vsCipm8g3hG5niKxlUoGMwknLQ3V09utjUZROJODFnlUlLV8alIlMXkbbeRD4fJvvpqfD6P5VuBz/J53aDr2F7zWmKPP0782WetDkkIS2ixfnKelVWTm+72TQCkjyynE6JRTRGhXbd+p7VZq3y9AByYOWxxJEJYJ5HJM523syJodSQvWttcXKKzayRpcSRCWGdwLEPB0Oltr47PswDdrZAv6IyGpbBbSlI8qlOmYTD6ne/gOf10or2rqmbJGoCu6/i8HtIXvwzd52P0v/7L6pCEqDjDMHCkBjD81u6AeCxP55kA5MK7LI5ECOvMpGIk9STdjuroCIQXZy8dSg5bHIkQ1tk1mgQUa5urZynK5s5iV/+u8YzFkQhhnQODxe//lV3WzzuatfLIrm/7B1IWR1JfpHhUp6KPPEK6v5/2t72NZDqD3+exOqTjBHxeonmTtje9ialf/Yrs2JjVIQlRUYl4FFduDK1pvdWhHKW5m8jZmyGy1+pQhLDMnumDAKz0dlscyYtaXCGchpOhzIjVoQhhmT1HCjQb26tjDAPAxg43Ogb7pLtBNLCBI7uarV1h/S6Is9b2FWMZGJXcLCUpHtWpsR/8AFtzM/rFLwPAX0WdRwABv5d4IknrG98IhsH4T35idUhCVFR8dCcKA2frJqtDOU7etxZbbL/VYQhhmf3x4tKwDcHq6QpUStFGC6OFCatDEcIy+6fyKEw2tlfPDVGHTafdmaVf9pkQDWxk0sRpz9EcrJ7Oo7YmG3ZbnuEJ2UG4lKR4VIcyIyNE7r+ftje8gUQ2B1BVy9agWDwCyDa3EHzZy5j48Y8xcjmLoxKicjLjOwFwd5xucSQvEVyPKzNAOlM9O2YIUUkD6SF0U2eFv8fqUI7TbesgrKYoFGTHNdGYBqLQZM/hcVbHTmuzer0GQ8nqWUonRKVNTNto9lfX0k1N02jyZRifrq6fF7VOikd1aOLHPwbTpP1NbyIaT6KUwuupnjZCgIDPB0A0lqD9rW8lNzFB5L77LI5KiMrJT+0BwFFlnUf21tNwFKLEJgesDkUIS4zkx2g2Qti06vrAudLdQ07LczgqS9dEYxpM6vR4qm8JyupQcce1SEJugorGYxgG03En7U3Vd2Ojs6XAVFR2XCslKR7VGSObZeInPyF06aU4e3qIxuL4vZ6q2W54ls/rRilFNBYndOmlOLq6GP/BD6wOS4jKibxA3t6E5qmeHZ0AXJ1nAJAcecbiSISwxoQZplNvtzqME6wNrADghZmDFkciROUlMnkmsw7WVNFOa7M2thaX6jwnO66JBjQ8niWXt9HbWT07rc3q7VBk83ZGJqWbvlSqq6Iglm36178mFw7T/ta3AjATjRMM+CyO6kSapuH3eYjGEihdp/3Nbyb66KOkDhywOjQhys4wDBzxfeT91TMse5arvbiMLjux0+JIhKi8yeQ0ST1Fn6t6hmXP2ti0BoD+xKDFkQhRec8PJzFRbGytvuVhp3cVu/t3y45rogG9cCgNwLre6pl3NGtNT/Hnxd7+tMWR1A8pHtWZ8R/9CEdPD8GXvYxsLkcqnSHgr77iERSXrkXjCQDaXv96lM3GhAzOFg0gFk/gyQygmjdbHcoJtOBqDGXHjOyxOhQhKm73VPEGxhpvn8WRnCjo8OM1PAxmZdmaaDzPjxUv/s7oqq4xDACrW13YVYF9U9W3pE6IcusfKn7fb1hVfbm5cXUxpoPD1bekrlZJ8aiOZAYHiT32GG033IDSdaKxOEBVdh5BcWh2MpUml8tjb20ldNllTN5xhwzOFnUvNnEAuxHH2b7F6lBOoDSdvHcVemw/pik7VIjGciBenPW1qXmNxZHMrV21MmbIjmui8ewNF7Apgw0d1bPT2ixd0+h05jgUq75lO0KU29CEwudKE/BVX+dRyG/H48wwNG51JPVDikd1ZOK220ApWl/3OqC4ZA0gWK2dR0d2XIsd6T5qveEG8uEwM7/9rZVhCVF2qZGnAXB3bbU4krmZwfW4MwOk0tKCLxrLQHoYu2Gny1N9M48Auu2dTGkRsnmZ3yAay8EodDmz2PTqvHTp8xuMpKrv4lmIchufstMWqt4b/62hLGPTkpulUp0/gcWimYbB5K23ErjwQpzdxVkNM7E4Docdl9NhcXRzmy1qzRzpkApdcgn21lYmbrnFyrCEKLv8ZHGekK3tDIsjmZutZTPu7DDRSNjqUISoqNH8OG20oFR1dhCsdvdiKIP9kcNWhyJExRiGwVDSwQp/9S49WRtSxAt2RiJy00U0jlQ6z0zSRXd79e5m1t1aYCbhJJut3p8ftUSKR3Ui9thjZIeHaf2DPzj62Ew0TtDvq9oPwR63C5tNJ3KkQ0rZbLRefz2RBx8kOyFt+aJ+qchuCrYAytNhdShzcnefjYZBfPhpq0MRomIKhQITWphue3XmJcD64CoAXojI5hKicQzPZEkaNtY161aHclKndzoBeGowYXEkQlTOnkMpQLGqq3pzc2WXjmlq7DssQ7NLQYpHdWLi1lvR/X6aX/lKAEzTJBpLVO2SNQClFKGAn5lo7OhjrTfcAIUC4TvusDAyIconk83iSh2kENhQtYVdR+fZAGTHpHgkGseByCA5LcdazwqrQzmpjU2rUabiQHLA6lCEqJhnhpMAnNZenZ30AGf3FkcxPDcmS0pF49g3UFyutmGl0+JITm79imJs+wakK7AUylo8UkpdrZR6QSm1Tyn18VO87g1KKVMpta2c8dSrfCzG9C9/SfM116C5XADEE0kKhlG1w7JnFYtHcQyj2O7oXrMG31lnMXHLLTKst4wkN60zE43jzRxCa6m+ndZmaaH1GMoO4eesDqXhSG5aZ/fMfgA2BdZaHMnJOXQHrWYzA7lhq0NpOJKb1tk9XizInNnjtTiSk2vxOWiyZdk7LZ9dK01y0zoDowa6VmBlt8vqUE5qbZ8bTRn0D1fv0rpaUrbikVJKB74CXAOcBtyolDptjtf5gb8EHi1XLPVu6p57MNJp2m644ehjs3OEqrnzCCAU9FEwDOKJ5NHHWm+4gfSBAySeecbCyOqX5Ka1opOHcBRmcHZU305rs5RupxBYjzOxl6zsflgxkpvW2pc4hDIVG5uqc6e1WT16F2Nq4uhNF1F+kpvW2jtlEtBztPmrt/MIYKUvz6G4zeowGorkprVGJnWa/Wn0Kh1kD2CzaTT50wxNVO/SulpSzn/p84F9pmkeME0zC/wAeN0cr/sU8M+ALERcoslbb8W1Zg3eLS9ejEZm4iil8Puqb0vTY4UCfoCjc48AWq6+Gs3lYvL2260Kq95JblooM/wkAK6ucy2O5NS0ljPwZQ4QmYnN/2JRKpKbFjqcG6LFaMJlq972e4C1nhVktAwDM9J9VEGSmxY6GNNZ5av+5WDrmxRTOQfTCbnpUkGSmxYpFAwmZ1x0t+atDmVePa15JmZcctOlBMpZPOoBjt0OZPDIY0cppc4B+kzTvLOMcdS19MAA8R07aPuDPzhufkpkJkrQ70PXq7vK6vN60DXtuAtU3ecjdPnlxY4q6XooB8lNCxkTTwGgtW21OJJTc3adjSsfZmZCdnWqIMlNixiGwSgT9Ng6rQ5lXpuCxWV1OyP7LI6koUhuWiSSyDGZc7KhuTpnBB7r9M5iZ9STh+PzvFKUkOSmRfqH0+QKNlb3VG/X0azVPYpc3sahYakdLpdl/9pKKQ34V+DDC3jte5VS25VS2ydkF67jhO+6C4Dma645+phpmkzPxAgF/VaFtWCaphEI+IhEj+9uaLnuOvKRCDMPPWRRZI1LcrN8cvk8juhu8u4uNHeL1eGc0uzQ7PTIkxZHImZJbpbPUGyMtJZmtbt6h2XPOq15HcpU7I33Wx2KOEJys3yeOFKI2dJR3UvW4Nih2TKYt1pIbpbPzv3FQsym1dWfmxtWFWPcdUByc7nKWTwaAvqO+Xvvkcdm+YEzgPuVUv3AhcDtcw0xM03zG6ZpbjNNc1tbW1sZQ649U3ffje+cc3B2dx99LJFMkcvnaQoFLIxs4UIBP5Fo7LgB2cGXvQxbKCS7rpWH5KZFIjMxfOl9qJYzrQ5lXnprMUZzUoZmV5DkpkWem9oDwOZQ9Q7LnuW2uWgyQwxkZdlaBUluWuTpkeLF3jkrqnuGJ0BPyIlfz7EnLEOzK0hy0yL7Bw00rcCGlW6rQ5nXxpXFodn7BwtWh1Lzylk8ehxYr5RarZRyAG8Fjg6xMU1zxjTNVtM0V5mmuQr4PXC9aZrbyxhTXUnu2UNq3z5arr32uMenjywBa6qBziOAUNBPPl8gkUwdfUyz22m+6ioi991HIZGwMLq6JLlpkcjUBN7sYRxVPu8IQHk7KTiasMVeIJ+v/vXsdUJy0yJ74/1gwmlN66wOZUF69E5GGZddSStHctMie6YMQrYsXcHqnkU2a4U3R3+s+pfx1BHJTYsMjeu0BtLY7dU9IgXA6dRp9qcYHJeB9stVtp9upmnmgQ8C9wK7gB+Zpvm8UuoflVLXl+u8jSR8112g6zRfddVxj0/PRIvLwXzVu6XpsY4OzX7JYN6W174WI51m+le/siKsuiW5aZ3U8JMoDJy1UDxSCppOx5/ed9xAe1E+kpvWOZQdpMkM4bVX9yYTs1a7+0jpKYZjY1aH0hAkN61zMGZjpa92bmCsC8F41kksVTsx1zLJTWsUCgYTM25622vn+7y7Lc94xEmhIEOzl6Os5TfTNO8C7nrJY/9wktdeVs5Y6o1pmkzdfTfBCy/E3tx83HORmRihgA9Nq407H0G/F03TmIpE6e3uOPq476yzcPb2MnnHHbS+bq6NE8RSSW5aozC+AwC97SxL41goR/f5qPH/YGJqktbmkNXhNATJzcozDINhNcZmvTa6jgBOD63n9uQveDq8m55A9Q/5rgeSm5U3GcsSzjm5sjk1/4urxFndDm4bUDx2KMaVm5qsDqchSG5W3r6BFAXDwZre2rjWBFjTo3hmv43+4TRr+2rjRlE1qp1/cXGcxLPPkhkcPG5QNhw7LLs25h1BcWh2U9DPVGTmuMeVUrS85jVEf/97sjK4TtS4bC6HI7YLw+ZHBVdZHc6COHouQDNzJIeesDoUIcpmf2SAjJZhvXe11aEs2JbmjWimxq6Y7Lgm6tfssOwzu6p/IO+sC1YWu+mfGpbBvKJ+7TpY/P7evLo2lpMCbF7tAl4c9C2WRopHNSp8550oh4OmV77yuMdj8SSFQqFm5h3Nam4KEonGTmglbLnuOjAMpu6+26LIhCiN2WHZNJ9BcfOP6mfrPA+Awuh2ma0i6tYzU7sBOLNpk8WRLJzL5qTNbOVg7vD8LxaiRj09kgVgWw0My57VHnDQYs/w/KT8zhT1a/+gga4VWNtX/cOyZ21Y5UbXCuwbkGVry1EbVzDiOGahwNQ99xC69FJs/uOLRLPdO801stParOZQAMMwmYkeP/fIvWYNntNOk13XRM0Lhyfwp/fi6LnQ6lAWTAVWYThCuOM7SaXlLqqoTy8kDmAzbGxsWmN1KIuy2t7HmDZBJp+1OhQhyuL5SZM2R4ZWX+10HgGsDxQ4GLdjGHKRKurTwKidjqYUul47pQSbTaMtlGZgTIZmL0ft/IuLo2KPP05ucvKEXdYAwtMzOOx2fN7aWsvZHAoCMBWJnvBc63XXkXj+eVIHD1Y6LCFKJjm4Hd3M4ei5yOpQFkwphWo7h0Bqz5y5KUQ9OJQfpIsObFr17xhzrM3+dRRUgecn91gdihAlVzAMDsQdbAjWzkDeWWe0a8QLdg5MyvIYUX/iyRxTMTerumtv2/tVXXnCMTcJGWi/ZFI8qkHhu+5C83gIXnrpic9Nz9DcFCzulFRD3C4nbpfzhLlHAM1XXw1KydI1UbNM08QcfxwAvesCi6NZHGfPhXgzB5ielF2dRP2JZRJMalOsca6wOpRFO7v1NACejbxgcSRClN6ukSQpw8bWjtrrEji3t7iU57FDCYsjEaL0duxOAorT1tRebm5abcM0NZ7dk7Q6lJolxaMaY2SzTP3ylzRdcQW6+/h1pplMlngiSUtT0KLolqe5KUh4+sTikaOjA/+2bYTvvlvmroiaFI0l8CV2YrjaUf4+q8NZFFvneWgYpIa3Wx2KECX39PguTGVyemC91aEsWo+3A6/hYU+q3+pQhCi5RweKF3cXrKytTnqArb1e7KrA02PS3SDqz84DOcDkrI1eq0NZtLM2FX+ePL8/Z3EktUuKRzVm5uGHKUSjcy9ZO9K1U6vFo5ZQkFQ6M+dslZZrriF94ACpvXstiEyI5ZmcjhBI7ULvPL/mugL1I0OztcknThhoL0Ste2am2LVzTtsZFkeyeEop+rRuBo1hubEi6s7To3ncWp7NnbVXPHLYdFZ4suyZlsssUX8ODus0+dIE/XarQ1m0lqCDoCfFgWHJzaWSr1yNmbrrLvRgkMBFJ85NCU/PoGmq5nZam9V8pOgVno6c8FzTq14Fuk5Ylq6JGhQZH8CbHcTRWzvzjmZp/h4MTy+BxHNEZmTukagvezIHaC400eyqzZsuG1xriOlxBqOjVociREntmbGx1pdF02rzUmVzs8lQ2kk0JR0Oon4UCgajUy76Omr3+7q3I8tI2CU3RJeoNn8iN6hCKsX0b35D86tfjeY4ceeJ8PQMoYAfXa+toZ+zQgEfNl1nIhw54Tl7czOBCy5gSpauiRqUHX4UAFtX7ey0dixb38sJJZ9lIjxtdShClEy2kGNYjbLWvtLqUJbs3NZix9SjE09bHIkQpTM6k2Ey5+SM1trq1D3WBX1ODBQPHYjN/2IhasTug0nyBRsbV9Zubm5cqZHL29g7kLI6lJokxaMaEnngAYxUas4la4VCgchMlJamUOUDKxFN02hpDjI5NfcFasu115I5fJjEc89VODIhli6VzuCe3o6pdPTO860OZ0kcfZfiLEwRHXrW6lCEKJmnJ3aT1/Kc4d9gdShLdlrzOhyGg+fjMjRb1I+HjxRctvW5LI5k6V62xo+GyaOHTxzFIEStemZv8ft560b3PK+sXrOxP/2C7Ia4FFI8qiFTd92Fva0N/7nnnvhcJIphmLQ2hyofWAm1NjcRiydJZ7InPNd0xRUom42pe+6xIDIhlmYiPE1T8hloPRvl8FkdzpLYel4OgDnyMIYhbb6iPjw19TwA57VttTiSpdM1nZWqlwOFAenKFXXj0aEcdlXgwlW1OYYBIOC20+dO8+xk7XZoCPFSL/SDx5mhr9NpdShLtrrHhduR5YVDVkdSm6R4VCPy0SiRBx+k+eqrUXMsSxufnEIpVfPFo7aWEMCc3Ue2YJDgJZcwdc89mHIBK2rExNgQgfRunCsvtzqUJdNaNmM6QvgTzzAdkblHoj7sTu+jqRCi09dqdSjLcppnPTE9zkB0xOpQhCiJ58I6a30ZXI7aHMMwa0uryeGUS+YeibpQKBgcHnezsjNTs7PIoLjZxIrONANjLrkhugS1+y/fYKZ//WvMXG7OJWtwpLsh6Mdut1U4stIKBfwnnXsE0HzNNWRHR4k/9VRlAxNiCUzTJH34ITQzj63vMqvDWTKlNPSelxFKPcfEVMTqcIRYtmw+xyAjNT3vaNa2li0APDa+w9pAhCiB4UiasayTs9prv2NH5h6JerJzf5Js3s4Za2s/N09brcjkHOzul7lHiyXFoxoRvusunH19eLdsOeG5XC7P9EyMtpYmCyIrrfnmHjVdfjmayyW7romakEim8ES2Y6Jh67nE6nCWxdF7Kd7sYSIje60ORYhle2p8J3ktz5bAJqtDWbZNzWtwGU6eS+yxOhQhlu3+vcVCyyWranemyiyZeyTqyZO7it/H553htTiS5Tvv9OLPlyd3Sm4ulhSPakAuHCb66KO0XHMNSp1Y7Z2cimCaJu2tzRZEV3qzc49S6RMTWvd6CV56KVO/+AVmPm9BdEIs3Phkcd6Rat2KcgasDmdZbCtfWfzD0P0UCgVrgxFimR6ffhpMuLjjbKtDWTZd01mhejlQOCQt+KLmPTaUw6kKbFtZu/OOZs3OPXpG5h6JOvDCgCLoSdHVVrvzjmb1dbnxu9O80C+5uVhSPKoBU/feC4UCzadYsqZpGs2h2r44nTVbBBufnJrz+ZZrriEfDhPdvr2SYQmxaJPjQwRTO3HU8LyjWVr7WZjOFkLxxwlPz1gdjhDLsiu9jw6jjRZ37XfsApzp3URCT7Jnut/qUIRYluen7WwMZLDp9XGJcnZ7ce7RROzEjWCEqBXZbIHhSQ+re+rn+3hVV4bBSTfZnNwQXYz6+Mlc58J33YV7/Xo869fP+fx4eIqWpiD6HIO0a1Eo4MPpcDA2EZ77+UsvRfN4mLrrrgpHJsTCmaZJbuB+NDOHffU1VoezbEpp2Fa+iubEdkbHJ60OR4glm85EGdXG2eRYZ3UoJXNJ5zYAHhp/wuJIhFi6vWNJpvMOzumsn8uTy9d4MFH88gW56SJq11O7ExQMnTPW1se1JsCZ63XyBZ2nX4hbHUpNqZ+fznUqMzxM/KmnTjooO5lKE40l6GirjyVrUJyC39HWzPjk1JxbD2suF01XXMHUL3+Jka2fCrioL9MzUYIzD2PqbvQjW93XOsfqV+PMTxMdeMzqUIRYsodGnsBUJhe0nGV1KCWzItBNcyHEs6ldVocixJLd+0Jx3tErN/gsjqR0Lljtx63leXhARi2I2rV9ZxalDC44s45yc4sPMNm+U3ZDXAwpHlW5qXvuAYq7jM1ldLzYndPZXttbDb9UZ1sL2VyeqZNsC958zTUUolGiv/99hSMTYmFGxsO0xB9H77scZav99eEAtpWvAsA18TuSKdmhQtSmJyLP4jAcnNtxutWhlNQmxzoG1QjxjNxFFbXp98MGrfYMmzprfyDvLJuucXoow7PTdgoyk0zUqBcOOehsShLy260OpWSagnY6mpK8cKh+/psqQYpHVS581114zzwTV1/fnM+PTkzicbvwez0Vjqy8ZucenWzpWvDii9EDAdl1TVSt6YEn8eSGcayZu2uwFmn+XmjaREv8cUYn5p5JJkQ1MwyDvYWDrFYrsOv19YHxgqazMJTBQ6NPWR2KEIsWS+XYG3NxTlv9zR+5qNdGwrCz/ZAUdkXtGRxNMx13c/ra+it+nrY6TzjqYXhcdl1bKCkeVbHUwYMkd+2i5SRdR4VCgYnJabraW+fcha2WORx2mkOBkxaPNIeDple+kulf/xojna5wdEKcWiqdwTF6PwC21VdbG0yJOdZdTyj5NBPDB60ORYhFe2ZiN0k9ydn+06wOpeTO69iKzbCxPfKM1aEIsWi/2jNDAY3LVtdHp+6xXrUxCMB9+5MWRyLE4v3uqQQAF291WRxJ6V14ZvG/6eEdCYsjqR1SPKpi4bvuAqVovnrui8+J8DQFw6CzvaXCkVVGZ3sL0zMxUum5q8Et11yDkUgQ+e1vKxyZEKc2Oj5Je+x3ENqIHlprdTglZV//ejQKmP13UyjU3x1iUd9+O/k4ylRc3nWh1aGUnMvuYDUr2J3fhyHLY0SNebA/i0MVeMX6oNWhlFx3yEmPK81jo1ZHIsTiPbdf4XOnWdvntjqUktu02oPXlebpvVZHUjukeFSlTNNk6u678Z93Ho729jlfMzIeRtd1WptDlQ2uQro72gAYGZuY8/nA+edja24+OhdKiGoxMbiHUPJZHBvfaHUoJad3nofp7qQl+iBjk7J0TdSWpzO76DY6afPW502X8wJnktCTPDWx0+pQhFiwgmHwdNjB5mAGp71+dnM61kVdJgMpN4fCMi9Q1I5EKs/ghIcNfRk0rf7KBpqmsb43w+FxD8mUDLVfiPr7LqgTyd27SR88eNJd1kzTZGRsgo7WZnS9Pn/R+n1efF4Pw6NzF4+UzUbzq19N5P77KSSk3VBUh3w+j9l/BwoDx4b6Kx4ppeHYcAMt8ccZGRqwOhwhFuzAzGGmtGnO8tTfkrVZV/RcjDIVD0w8anUoQizYIwdiRAt2XrGiPj/PAly3ubhL1R3Pz70RjBDV6HdPxigYOuedXl8zAo91/hl2CobOw0/HrA6lJkjxqEqF77yzWBx51avmfn56hnQmS0/X3F1J9UApRXdnGxNTETLZubdRbL7mGox0mun77qtwdELMbWQ8TFv0t5j+VWhtW60Opyzs625ANzNk9t8ty2NEzfjN8CMAXNF1scWRlE+zO8gKs5dnMrskN0XNuOuFJDoG150RsjqUsjmjx0e7I8ODg6bVoQixYI8+Z+C0545sa1+fLtjiw27L8+izMophIaR4VIVMw2Dq7rsJXnIJtlBoztcMjoyjaRpddTrvaFZPZ9vRLqu5+M85B0dnJ1N33VXhyISY2+jAHpoST+Lc+Ma6G2Q/y9Z3GaazldbpXzIRnrY6HCEW5Knkc7QWmlkd6rU6lLI6z7eVqB7j+al9VocixLwKhsGj4zY2BdI0ex1Wh1NWF3YWOJBwMTojOzuJ6pdK5zkw7GVDXxJ7nS4nBXA4dNb3Jtk35CWVlgLSfKR4VIViTz5JdnT0lEvWhkfH6WxrwWazVTi6ygoF/HjcrpMvXdM0mq+5hpmHHiIXiVQ2OCFeIp/Pw/6foFHAsfntVodTNkq349h8I23xRxg5LBeoovoNRIcZ0cc4x32G1aGU3St7LkKZivvGHrE6FCHm9fsDMWbyDq5YVb8Xp7Ou3eTFRPHz5yJWhyLEvB58orhk7eKt9btkbdZFZ+rkCzYe2iFL1+YjxaMqFL7zTjS3m9Dll8/9/HSk7peszZpdujY2OUX2JEvXWl7zGsx8nul7761wdEIcb2Q8TGfkHszmLejt9blkbZbj9HeimTnye34iy2NE1btn6EEAruq+1OJIyq/d20qP0cVT6eckN0XVu2tPEg2D604PWR1K2Z3T56PZnuU3A5KXovo1wpK1WRdt9eOw5XjkGcnN+UjxqMoY2SxT995L6PLL0T2eOV9zeLgxlqzNWtHTiWmaDI6Mzfm8Z9MmXGvWEL7zzgpHJsTxJvb+jkB6D64z/9jqUMpO7zgXI7iBtql7GJ0IWx2OEKf0eGoHnYV2Vof6rA6lIi4OnMuMHpVd10RVyxcMHhm1szmQpsVX30vWoLiz06XdBfbG3fRPyq5ronrFk42xZG2W06GzcUWS/UMeEqm5mxVEkRSPqkz0kUcozMzQ8prXzPl8oVBgcHiMns62ul+yNivo9xHwexkYGp3zeaUULa95DbEnniAzPFzh6IQoSmey2A7+CFPZcGx+m9XhlJ1SCtcZ7yKUeo7RPb+3OhwhTur5yb2EtWku9J5jdSgVc3Xfpeimzr1jD1odihAn9cvdEaIFO9eua4zPswBv3hoAFD95JmJ1KEKc1C8fiVIwdC7fVv9F3VkvP8dBwdC57zHZEfFUpHhUZcJ33okeDBK8eO7dYEbGJ8nl86zo6apwZNZRSrGip5OpSJR4Ijnna2aLbWEZnC0sMnj4EF2Re1Arr0Hz1P+SUgDnlj/BVHYc+2466bJSIax278hvUabi6r76X7I2K+QKsIE1PJvfRSYvw3lFdbptdwaXlue1ZzRZHUrFbOjwsMqT4jeHdVlWKqrWI88o/O40555e/0vWZp1/hg+vK8NDO6Q8ciry1akihWSS6d/8huZXvxrNMXel99DgCG6Xk/bWxvlFC9DX3Qlw0u4jV18f3q1bZemasIRpmsSfuRlHIYr3vL+yOpyK0bwdsOYP6Izcy+Dhg1aHI8QJsoUcT2afYTUraPc2xlLvWZc3X0RGy/KbIekMFNVnKpFlx7SLi9oyeJyN03kEcNUqxXjWyWOHZDivqD79QylGpnycsymDpjVOqUDXNc7ekGZw0svgmNx0OZnG+Y6oAZH778dIpU66ZC2VzjA2McWKns663QL8ZIoFs2YODY5gmuacr2l5zWtI7dlDcu/eCkcnGt3MTIyW4R+QD2xA75t70H298p73l9iNBPGn/8vqUIQ4wW8GHyGpp3hV88utDqXiXtF7Pm7DxW+mHrY6FCFO8NMd0+RNjdef4bU6lIp7/dYmdAx+8mzC6lCEOMG9DycAk6svbpyuo1lXv6w4b/iu38YtjqR6SfGoioTvvBN7Rwf+c8+d8/lDgyMArOxtnCVrx1q9optUOsPI+OScz7dcdRXounQfiYobefYOApl9uM/9y4Yr7Nq6LyYfPJ2Wof9hajpidThCHOeXU7/FU/BwRe+FVodScXbdzjb7WRzgEANRmQcoqstdB6DDkeGCVX6rQ6m4Fp+DbS1pHh53EZHhvKKK5HIFnnzBRU9rgt5Ol9XhVNzKbg+9rQme2O2kUJBlpXOR4lGVyEcizPzud7Rccw1qjhZBwzA4MDBEe0sTPu/cu7DVu672VlwuJwcODc35vL21leCFFxK+886TdicJUWq5XB7Hri9TsAVwb/kjq8OpOKUUngs+hi97iPEn/tvqcIQ4qn9mkIMMcL7zLOy63epwLPH6Fa8G4JaBX1gciRAvemj/DIfTLl6zxmyoZTHH+sOtHrKmzg+emLI6FCGO+s1jUZIZJ1ec11g3Qo/18nMUyYyTB7bPWB1KVWrMn9hVaOoXv8DM52m59to5nx8emySdzrB2VWNsMzwXTdNY3dfN+OTUyQdnX3cd2eFh4jt2VDY40bCGnvslrbFHUFv/HGVvvPZ7ANfpf0jO3Yt3z1dIZ7JWhyMEAD8b+CUKxQ1HCiiNaGWwhzXmSh7LPiWDs0XV+N6OBE5V4G3bmq0OxTIXrfbT40rz8/1KBmeLqvHrx8DjzHDF+Y3XETjrlRf4cTuy/PJRqyOpTlI8qhKTt9+Oa80aPKedNufz+/sP43G76GxvrIGfL7Wqrxul1Em7j5quvBLldBK+444KRyYakWmaGE/+CwXdS+jCj1gdjmWUZsN+7kcJpHYz+tRPrA5HCOK5JI/lnmQdq+kLNOZS71nXtF1OWktz18ADVociBEORNNun3FzSmSHobsyOQCjeEL1+nWIs6+S+PdLhIKy3a3+CkSkfF56RwWbTrQ7HMg6Hzvmnpxic8PHCwbmbFRpZWYtHSqmrlVIvKKX2KaU+Psfzf62U2qmUekYp9Wul1MpyxlOt0ocOEX/qKVqvv37OeSmRaIzw9AxrV/Y23DyVl3K7nPR0ttE/OEwulz/hed3rpenyy5m6916MnKwjPxnJzdIY3/swLZH7yW96D8oVsjocSwXOfS85eyvajn+hUChYHU7NktwsjVv7f0lGy3JDZ+N2Hc16Rc95BAsB7pl+QDoclkFyszRuenwaA413nRuwOhTLveWcZtxanv9+Jm11KDVNcrM0fv5gCk0rcP1lkpuvu9yPphW47f6U1aFUnbIVj5RSOvAV4BrgNOBGpdRL22qeAraZpnkm8BPgX8oVTzWbvP12UIrW1752zuf37D+ETddZ2dfYd09nbVizkny+wIFDg3M+3/Ka15Cfnmbmd7+rcGS1QXKzdNIP/wMFzU3zy//W6lAsp2wuzLM/QjDxNKNP/I/V4dQkyc3SyBsFfhX9LR2FNs7v2Gp1OJbTNZ1X+y9lQp/kweHHrQ6nJklulkY0leeeAQenB5Js7mrMZd7H8jltXN2X49kZDzsOx6wOpyZJbpbGyESG5w/6OX1VnJZQ43YEzmprcnLaqgTP93uZmJYl38cqZ+fR+cA+0zQPmKaZBX4AvO7YF5imeZ9pmrP9YL8HessYT1UyDYPJ224jcNFFODo7T3g+Fk8yODLOmpU9OOySzAChoJ+Otmb29R+es8Mh+PKXY2tpYfLWWysfXG2Q3CyB8O5fEAr/hvSm92PztlsdTlVoueivSDt70LZ/EqNwYmegmJfkZgnc0/8AUT3Gdc1XNuww3pe6YfWr8RhufjZ+r9Wh1CrJzRL49qOTpAwb7z63MTd+mct7LmzGrgp843EpHi2R5GYJ/OgXMUxT8eZXS1F31uuvcGMYGj++V3LzWOX8VNUDHD7m74NHHjuZPwXunusJpdR7lVLblVLbJyYmShii9WKPP052ZITW171uzuf3HDiEpmmsW72iwpFVtw1rVpLJ5ugfHDnhOc1up/W1ryVy//3kpmQXizlIbi6TaZpkfvs3ZG3NtF32D1aHUzU0mxPj3E/gSe1n8tH/Z3U4tUhyc5kKRoHbpn9JsODnqpWXWh1O1XDZnVzmvpjD2hDbx56zOpxaJLm5TMlMntsO2FjnTfHydUGrw6ka7QEHl3dleDzsYd+4zFdZAsnNZQpHsjy1x8eGFTFW9bitDqdqrF/pYV1PjMd3+5iekVEos6rilpxS6u3ANuBzcz1vmuY3TNPcZprmtra2tsoGV2aTt92G5vXSdOWVJzyXTKUYGBpl9YpuXE6HBdFVr9bmEM1NQfbsPzRn91HrDTdg5vOEf/5zC6KrH42cm6cy/cwP8EZ3kDr9w9jd8iH4WO3nv5uEewM88RmMnKwVLxfJzbndM/AgYX2K14ZehU1r3IGfc3nLmmtxGA5+MHS71aHUNcnNud38eJhYwc6fnCWfZ1/qfRc1oTD5yiMRq0Opa5Kbc/vRL6IUDJ03vlIKRy/1plc5yRd0fnCPDLWfVc7i0RBw7L7yvUceO45S6pXA3wHXm6bZUIsKC4kEU7/4Bc1XXYXuPjFhd+45iFKK9dJ1dAKlFKdvWEMqnZlz5zXPunV4zziDiVtvxTRNCyKsapKby2DkM+Qe+l8knSvofPlfWx1O1dF1G+YFn8aZHWHi/v9jdTi1RnJzGfJGgVvC9xAqBHntqhNvyDQ6v9PHFa6LOaAd4pHhp6wOp9ZIbi5DLJXnB3t0VnlSvHJTyOpwqs6KZheXd6X53biH54fjVodTayQ3l2EsnOXR532s64myabUsJ32p09b6WNsd5bFdXians1aHUxXKWTx6HFivlFqtlHIAbwWOu92llDob+H8UE3m8jLFUpelf/QojlZpzyVokGmNgaJR1q3rxuF0WRFf92lqaaG9t5oX9/XPuvNZ6ww2k9uwhuXOnBdFVNcnNZZj67f/Fleond84ncTglN+fSfc4bmWq6HPuz/0Y+0m91OLVEcnMZbjvwK6b1CH/QfBV23WZ1OFXp7ev/AI/h5r9HfiY7ry2O5OYyfOWhCeIFO39xvkvmkJ3EX13SjF0ZfPEhma+ySJKby3Dzz2MYpuId10nX0cnceLWbfEHnu3dErQ6lKpTtJ7hpmnngg8C9wC7gR6ZpPq+U+kel1PVHXvY5wAf8WCm1QynVUL3UEz/7Gc7eXvznnHPCc8/t3o/dbmPDWtlN8lTO2LiWbC7PngOHTniu5ZprUA4HEz/7mQWRVS/JzaUrRAfQdnyOqeAl9F74R1aHU7WUUngu+wIAU/f8ucXR1A7JzaVL5FLcNnMvrUYzr1l5mdXhVC2P3c21/isZ0cf4xYDsSLpQkptLNzKT4fZ+J2cGk1y6PmR1OFWrK+TkNSsz7Ih4eGi/LJFZKMnNpds3kODZ/X62rouxple6jk5m42oPZ6yJ8dRePwcOyziGst6aM03zLuCulzz2D8f8+ZXlPH81S/X3E3v8cXr/8i9RL7kLMzYRZnxyii2b1skOa/MIBf30dXew9+BhVvV14/W8WDm3BYM0XXkl4TvvZMVHP4rmdFoYaXWR3Fyaqbv/DN0sYL/0X+Xu6TzaV5/FC31/TNfA10nuvxfP2qusDqkmSG4uzU17f0JcT/C+9rehy6yjU3rjmqv55Y4H+WH451zWcz4uu3RQLoTk5tJ84YEpcqabD1/itzqUqveBS1r5xcAMX3gkz4Wr/ejyOWNBJDeX5js/z6BpOu94TcDqUKreu17r4+NfNviv21N86gON3aUlP5UsMvHjH6NsNlpvuOG4xwuFAjue34PP42bNStlJciHO2LQOTSmefn7PCfON2m64gUI0yvR991kUnagXyb134Bi8k7HeP6Fn/Tarw6l6Sim6rvwUSXs3iV+8FzMnu8iI8jg0M8z9mUfYaK7j4u5zrQ6n6jl0O3/U8QZm9Cjf3vMTq8MRdezhAzPcP+bmlV1JTu/2WR1O1Qu57fzJGQYDKTfffqRxdvsSlffLR6bpH/Vz2Tlx2ltkiP18OlqdvHxrkv5RPw9uj1gdjqWkeGQBI5tl8tZbCV12GY6XTPN/Yf8hEskUZ52xEV2Xf56FcLucbF6/mtGJMCPjk8c9F7jwQhzd3Uz86EcWRSfqgZmZIXXve0g4VtL9qk+jlLI6pJoQbG4les5ncSQHiPz6Y1aHI+qQYRh8Zf/NALx/3dstjqZ2XNZ7IRvNddyXfZiDkcPzv0GIRcrmC3z2d2n8ep6/uaJxdq5arnec18oaT4qbd9sYi8pcZ1F6iWSen/zaTsiX4g+vbbI6nJrxh9eGCHjS/M8vdJKpE2ftNgqpTlhg+pe/JB+J0P7mNx/3eCyeYM+BQ/R1d9De2mxRdLVp7apeAj4vTz+/57jh2UrXaX/zm4k++iip/fstjFDUssi9f46eGSd23hcINrVYHU5NWXPhjYy0vA71/FfJDT1sdTiiztxx6D72aQe5yn0ZK/xdVodTUz6w7h0oU/EfB74jw7NFyX39oUmGMy7etxVCHhnBsFCapvG/LvWSMXQ+9euw1eGIOvTtWyMkM07ecS047LLMe6FcTp23X2sQT7n41q2NO5dMikcWGP/xj3H29hK46KKjjxmGwfand6LrOls2r7cwutqkaRrnbNlEKp3hmV17j3uu7fWvR9lsjEv3kViC9L470fZ+l+GOP2TtthN3RhSnZrfZCLzyi6Rtbczc8U7MnAwbFKUxnpjkB9O30V5o44/W3zD/G8Rxev2dXOe9kn7tMP+z7+dWhyPqyPPDcb6/18FpgSRvOltuhi7WWX1+rluR4veTXm7ZMTn/G4RYoMefjfLYrgBnrJ7h/C0y62ixLtoa5IzVMzy208+OXY25M6IUjyosdfAgsccfp+2NbzxuUPbuff1Mz8Q4+4xNuJyy9nQpmpuCbFy7kkODIwyPvbhW3N7SQvNVVzF5220UkjJ3RSyckZwgcc+fEHespP2qz2OzyfbfS9Hdu5qpLZ/BHt9P5BcftDocUQcMw+ALL3yLrMrxl6v+GLsunQ1L8bb1r2OF0cttiXvZP33irqVCLFY2X+Dvfp3Argw+86om2Vxiif7mina6nWm+9IRiJCLL18TyReM5vn27wufK8P63BK0Op2a9701B3M4c37gV4snGW74mP9ErbPwHPygOyv6DPzj62NT0DC/sP8SKnk56u9qtC64ObF6/mmDAx1PP7iaVfvGXbftb3kIhFiN8112neLcQLzJNg+lb34LKThO/4Mu0tnVYHVJNW//ydzHcfiPa7m+T2vkDq8MRNe6/997GXu0A17ivYHPLWqvDqVm6pvOR9e9BM3U+f+A/yeSzVockatxnfz3OYNrFX5xt0tcsO/ktldOu86krPKQNjY/fO0VBlpaKZfrKD6PE007+5HqTgFduuCxV0G/nj68rEEs6+fL/NN7yNSkeVVA+FmPilltovvbao4Oy05ksjz71HG6Xk62nbbA4wtqnaRrnbT2dfKHAY089d3SOg++cc3Bv2MD4D35wwo5sQswl9tCnsY3cx+DKv2b9tmutDqfm2e022q7+N2bcm0n94j0UpmUGmViaJ8d2cnvyF6wxVvKuDa+3Opya1+vv5O1NNzCmj/OvO79ldTiihv382SluH3BzUWuSN53TanU4NW9rr5+3b8zyfNTDF+4btzocUcN++sspdvYHuPiMKOfJcrVlu+isABedMcPz/QFuv2/K6nAqSopHFTR5yy0YySSdby/uCGMYBo899RyZbI4Lz9mC3S5LYkoh4PdyzpbNhKdneHb3PqC4bXjHW99Kctcu4k89ZXGEotpl+n+N8eg/MhG8nDVX/4O03ZdIa1s7uZd/E8M0mf7p6zBzsoxULM54IsyXBr+F23Tx8U3vR9dk2GcpXLf6Ci7Sz+VxYwc/3X+v1eGIGvTCaIJ/fsyky5nhn66V3dVK5QOXtLGtOcGPD7i45/nGukgVpbFjd4zbf+ulpzXOe98oM8hK5T2vb6azOcEt93t4dm/c6nAqRq6IKsQsFBj93vfwn3su3tNPB+C53fuZnIpwzpaNhIJ+iyOsL33dHaxb1cf+/kEODY4A0PLa16IHg4z8139ZHJ2oZoXpfSRuewNJRw/+a76Fz+uxOqS6suaMixk945+xzexk6rYbpRNQLFgmn+EfX/h3klqKD/W+m1aPbDFcSn912h/TY3Txg+htbB97zupwRA2JJHJ8+BfFi6d/vcqPzyk3Q0tF0zQ+d2077Y4Mn/m9ye7RhNUhiRoyOpnhaz9RuBw5PvJHPnRdLv1LxW7X+eg7PTjteb78Q8VYuDFmk8l3UIVM33cf2aEhOt7xDgD2HhhgX/9h1q3qY0WPbC9cDmdsWkt7SxNPPrubsYkwusdDx403ErnvPlIHD1odnqhCZmaG6R9djWEapF5xMx09q60Oqe4opdh0+f/HUN8HsR26ncj9n7A6JFEDDMPgM899lWFtlLcHXs857adbHVLdset2PrHxz/EYbv516BsyQFssSCZX4P23TzKecfKJCxXrO+SGS6n53Ta+cJUPBfzFPUmGZYC2WIBoPMc/fTtNJmfjg2+G1pDMOSq19hYHH3iTSSan88//lSKRzFkdUtlJ8agCTNNk9KabcPT00HTFFRweHuXZ3fvo6Wxny+Z1VodXtzRN44JzthDwe/n9k88xPROl4w//EOVwMHrTTVaHJ6qMmU8z+cPXoMf7CZ/zFdZsudTqkOqWzWZjzfX/wnjz1WhP/l+iT/w/q0MSVcw0Tb7w/H/yHLt5leNSXrf2lVaHVLc6vC18YvWfYwKfOvAfjCXCVockqljBMPir28fZG/fwgTOzXH26LIkpl02dXv7pMhvRvI0/+3mEaKr+L1LF0mWzBf7vt+JMx12867o0Wzb4rA6pbp250c/brk4zMePh0/8ZJ5MtWB1SWUnxqAJijz9O/Kmn6HrXuxiemGL707tobQ6xbetmlFJWh1fX7HYbF2/bitNh56HHniZhd9D6utcxefvtZCcmrA5PVAnTyDP54z/AMfEQo5v/Dxte/nbJzTJzu1x0vP57TPvOxbj/z4g9JzuwiROZpsl/7LyZRwpPcL52Nv/fphutDqnurW9exYe730NCS/J3uz/HhBSQxBwKhsFHfj7G41Me3rImyR9dILsFl9vL1gb52/MMhtJO3v2zsBSQxJyy2QKf/uYMQ5M+bnhFgsvOC1kdUt171UUhbnhFjMEJH//3P2fI5eq3gCTFowoY/vrXsbe2kn3Zy3nsqedoCvq56Nwz0XUZ9FkJbpeTS84/C13X+N2jT+F5wxsxcznGvvtdq0MTVcA0DcZvuRHH8L0Mr/0YG676uBSOKiQQbCb0hp8T82wi/4t3Etv9c6tDElXEMAy+/PzN3J97mLM4nY+d8V4ZXl8h2zq38Odt72JGi/K3u/+FscSk1SGJKlIwDD502yi/Hffw2r4kH768w+qQGsbrtrbw12fnOJhw8ae3hIlIAUkcI53J84/fmOHgqJ9rL4pyw5XSDVgpr39lC1ddEOXAiJ9PfTNStx1I8imszGJPPUX00Udxvv6NPP78XppDAV523lmys1qF+bweLr3wHGw2G48Nh/FecSVj3/8+ubDcUW1kRj7L2I/egOvQTxhf9X42vPafpKhbYaHWLvxvuIuUs4/8XW9k5tkfWx2S+P/bu/P4OMty/+Ofa2Yy2fe0Tfe9lBZKW1qglB0KiOx4QBCkB/kpIufoOaJHXAFxQVFcEBXlCHpUEJBNXFjL2oVCaWkpbdO9aZut2ddZ7t8fM8WYZtokzSxJvu/XK69J51nynXnm6kyu3M/9pIBQOMSda3/JS8E3mGUz+PKsz6hxlGCnjDmOzw6/jgZr5Jb3v8f2+vJkR5IU0NYR4j8e38sb1dlcPL6Fr509QrWZYFfOG8bNc4Nsa8ngusdqqKjXHEgCDc0BbvtlA9srcjl/YQNXnlec7EhDztXnF3Pu8Q1s3ZPHrb9oGJRzIOl/+zjb/YtfQF4eG8ZPYVhxIQvnH6PGUZJkZ2Vy8vFzSE/3s2XeAsLt7ey5//5kx5IkCXW0sPcP55G56wmqJn2WyZfco6tQJEnB8PFk/9uLNGdOIvzslVStUF0OZS2BVr72zt28GX6HBZ55fP3o/8DnUVM3GU4aPY//Kr2eFmvly5u/z6qKdcmOJElU3djBtY9WsWJfNpdPauWrZ49U4yhJrji2hFvmBdndls7HH69n/R5dhW0oK69o46s/a6G8KoeLT2nkinPVOEqWj51fzMWnNLCrKpuv/qyZPVWDq7mr//HjqHb5cupfe426k05n3KQJLJx/DD6fGkfJlJ2VyWkLjiV/2jSa58xj7x//SHtFRbJjSYK11++m4sGTyK56gdqZ32DyxXfrA3CS5Q8fT+FVL9OcO4u0V/8fu5/7OuFwONmxJMF2Ne7lv9fcwfueTZyXcSY3H329ajPJFoyayzcmfA6v8/Cd3T/jma0vJTuSJMH6Pc1c8+c6tjWn89ljOvjimaXJjjTkXTqnhLtO89Aa8vLJv7bx/Pu1yY4kSbB6QyO33ReiscXP9Re1cNkinaqWbJctKubaD7dQ25TBN34ZZPWGpmRH6jf6RBYnDQ2NrL/9DoL5BYxdfC1zj56uD8Apwu9PY+H82WRffQ0uGGTVbd+kvWPwDSuU7u3bspS63x5LRuM6mk64lwnn3qo5jlJEdv5whl/zMg0lZ5G95pvseugyAm36a+pQ8equlXxx03eotTo+Wfgxrp9+uWozRRxZNJnvTb+F4nAx99c/xPfW3Ed7sCPZsSRBHlpZxSeeaacp6OU7p8A1xw1LdiSJOmlKPr/6cAY5vhC3vGrc+fxeQvrDy5AQDof5499q+OHv/Zg5vnB1mFPmFSQ7lkSddUIBN18dxHD88A8+Hnm2ZlD8UVTdjH7mnGNH+V6Wf/9ufNu2MOIzn+HImUfoA3CK8Xo9zF90OpkXXYzn5Zd45YH/o3pfXbJjSRyFw2F2Lvkh7okz8IQDcP7fGb3w08mOJV34M3MZc83faTjic+TveYLKB46jbtfqZMeSOGoPdvCjtb/h7qpfke783Db+85w7/pRkx5IuSrOH8aNjvsZxnjksC7/Ff63+JptrdyQ7lsRRY1uQm5/azV2r/IzM6OC3F2VxxhGFyY4lXRxRms3DlxdybFErj2zNZPGfKti5ry3ZsSSOahsC3HFfLX99I4/Rw5r51k1+ZkzJTnYs6eKoqTnc8Rk/pUWtPPVqHt+8r47ahoE9YEHNo37U2tbOsrffZdWS18h75klyTjiBSVfpssKpysyY+eVb8I0aRc4ff8crry5n9XsbCQYH5+z4Q1njvj3s+N155L31edrzjiLvmpUUTTs92bEkBo/Hw9jz7yZw2oNktO0g9MgCtr7wg0HxFxv5V+uqN/Gfq2/lleAyZttMfnrUrUwvnpTsWBJDus/Pl2bdwHX5V1Bjtdyy7bs8uOHPhMJ63xxsXtxQy2UP1bKkIptzRrfwx48OY2JJZrJjSQx5mWnce8kIrj+yjU1NGVz5eDO/W1Gp981B6PlltfzPjzsoK8/l9LkNfPPGAkoK/MmOJTEMK/Tz7ZvyOX1uPZt3Z/Oln7Tz4oq6ZMfqM03A0w+cc2zftYd315cRCgYZ99cnCHuMybffrhFHKc6blcXk229nw/XXM/6Nl9mclsbeymqOmXEEpcM12dxAFwqF2LX0fjLf+goFwVpaj/oCpWd9G49X//UNBCXHfpy2CQupfeIKit65mR3bniR30c8oHnd0sqPJYWrqaOG+jX/k9cCbpJuf6wuu4rwJpyY7lvTQ+RPP4JjiGfyo7H6ebP0Hb65azQ3jr+aokqnJjiaHqbqpg+++WM2SimyK0uDOk8OcOX1ksmNJD3g8Hm44aQQnT2riGy818ePVmTy/tYIvn5rHEaUalTLQ7alq59d/bmLjrjwKc1q56QrHrGn6XWUg8Ho9XHdJCXOPbOTXTzh+83Q2r62q4ZOX5VBakp7seL2ikUeHqaqmlhdff5O3332f/LwcZm9dT/CdVYz74hdJHz062fGkB/IXLGD4FVcQ+suTHBtuxTDeWLma199cTWOT5lsZiJxz7N38Fjt/cxoFyz+FSy8i7bKXKD3ne2ocDTAZxZMp/ffldMz5OnkNb2KPHsemJ2+muakh2dGkD0LhEE9ufo5Pv/sVXguuYJbN4CfTb1PjaAAam1fK92ffwpU5F1Ft+/jGzh/w7dX3Ut2iSXsHoo5giHtfreCShxt5uSKLs0a28NgVhZw5XaepDTQzR+Xw0EeHc83UVjY2pvPxpzv4+t/2UNc6sE+XGapa24L8+s/V3HKPo6w8h5OPqeeu/8pm1rScZEeTXpo9PZe7/iubk4+pZ3N5Dl++J8xvnqimtS2Y7Gg9Zs65ZGfolXnz5rmVK1cmOwb1DU2s37SV3RVVZGakc9T0KeSX7+D9666j6JxzmPz972vU0QASbm/nvSuvpKOighmPPMKOtiDvl20lFAozYewojpg8nqzMjGTHBMDM3nLOzUt2jq5SpTZrdm+ibsnXKNrzGM7jIzz7SxSf8mXMm5bsaHKYOvZtZt9fP0lmxYu0ppXSMuPzjFr4GTIyU+NUCtVmbOFwmCXly3m48mmqvDUUh4q4ftQVHD9ydlJzSf+oaanlvrKHWBlaTZpL49SME7hq0oXkZ+QmO1rK1iWkRm2GwmEeW7WPB9aGqexIZ0p2K188KYu54/KSmkv6x859bdy5pJZlNVnkeANcNiXEdccXk52e/D+kqTYPriMQ4ukl9Ty3wk9zWzqTRjay+MIMJo7JSmou6R9lO1p44Kk2tlfkkpXezrkL2rng1AJ8Pm+yox20NtU86qXa+kbeL9vKnopqfD4vUyeOY9qkcQR27eK9q67CV1DAzIcfxpujbvBA07Z9O+suvxz/qFEc+dvfEvSns37jFrbt2gOQMk2kVH2zTXZtVm1eSsPyn1Cw9wm8LkDbxCspOes7+PLGJC2T9D/nHE0bnqbllVvIaHyP5vQJtB1xAyMX3khmVnJ/UVVtHigUDvHCrqU8WfUse7wV5IZyuDB/ERdNWoTPk/wPSNK/1teUcf/2P7HFs530sJ9TMxZw5aQLktpEStW6hOTWZjAU5tFVNfxunaOiI51h/nY+McvDpccU6erAg9Drm+v58fJWtjRnkusNcGkKNJFUm93r6Ajx1JI6nn8znea2dIrzWrh8kXHibDV0B6PX367nkRegpiGL3Mw2zpgX4ILT8kn3J+8zkppHhykcDrO3sobN23dRVVNLms/H5AljmDJxLP60NAI1Nbx39dWEGhuZ8fvfkzF+fELzSf+pX7qUjTfcQO78+Uy79148fj8tra1sKNv+QRNp1IhhTJkwhqLC/KSMLkvVN9tk1GawvZWqtx4ktPY+chtXEbY0OsacT+Hp38Y/bHpCs0hiORemYc3/0b70DtKbN9HuK6ZpwtUUHX8TBaVTkpJJtflPLR1tPLX9eZ5reJVabx05oWzOzj2Fj0w8j4w0Tew52K2qWMfvy59ki2c7vrCPOb6juGzMh5hWNCHhWVK1LiE5tVnT1MHvVu7jma1eaoN+hvvbuXqmcfmcYnxeNY0Guxfer+WXb7ezpTmTTE+QM0Z1sHh+QVImQ1dt/qvKmnaeeKmRleszae3wU5LfzAUnw2nz89TQHeRCoTAvLGvgr28YNQ1ZZPo7OOGoVi44NY9hRYn/zKTmUR+1trWzY9cetuwop7WtncyMdCaNG82k8WNIS4t06juqqtjwiU/QXl7OEfffT+7s2QnJJvFT9cQTbP3KV8g/5RSm3n03nozISKOW1lY2bytn287dBIJBCvJymTB2FGNGDceflrhTolL1zTaRtdm45z3qlv+EjO0P4w/W0eYfRWjatQw78T9Jyy1NSAZJDc45Gt9/mubl3yOr5nXCeGgsXIhvxrUMm3MlaemJG96t2oS11Rv5y+4XeSe4jg5PByWhIs7NP43zJ56BX6eODjnvVK7n8d3/YJ3bQNjCTAiP5YzCEzlrzEIy0hIzSWiq1iUkrjbD4TBLtzby2NpmllZlEHBeJmW18pHpPi6dXaSm0RD00oZa/m9NG2vqIk2j2QWtXDjdzzlHFuBP0Gkzqs1I02DFu028sCLAxl05OOdhzLBGzlng4ZRj1TQaasLhMK+93cAzrzt2V+fgsTBTxjSz6Hgvxx2dm7DXg5pHvRAIBNldUcWO8r1U1UQmfRxWXMik8WMYObz4Xw5a2/btbPj0pwlUVjLt5z8nb/78uOWSxKr805/Ydvvt5M6fz9Qf/Qhffv4Hy4LBEDt272XLtl00NDXj8XgYObyEcaNLGTEs/sO9U/XNNt612dbWStWqh3Dv/Zq8uqWA0Vh8KhmzP03xrEvx6BSYIa+tci37lt1L2rY/4Q/U0OEtoGnMJeTMuYGSSfPjPlJwqNbmrsa9PLfrNZa1rKLKW43HeZjOFD404jQWlM7Rh1+hormKR7f9naXtb9HiacUf9nO0dzqLRpzMvOFHxfU1kqp1CfGvzbLKFh5ZXc+Sci81gXR8Fub4klaumZPDvPE6BUZgS1ULD6ys56XdflrDPnK8ARaWBrh0ZjZzxuaoNuNk47ZmnlvWypqyDFra0/F5g8ya3MwFp2QxZbzmNBLYsK2ZZ15pZe2WbAIhHzmZbcya3M4Zx2VxxMT4vkbUPDqEtvZ29lTWsLeimorqfYTDYbKzMhk7agTjRpeSk33gAap79VU2f/GLmMfD1J/+lNy5c/s1kyRf9dNPs/WrX8U/ciRTf/ITsqZN+5flzjnqGhrZUb6Xnbsr6OgI4PN5KR1WwqjSYYwYVkSar//PJU/VN9t41GZLayt7t71HYN3/UlD+KBnBSjrSSuiYdBUFx91E9nBdFloOFA4FqF37Z9rW/IrsypcwwtRlz6Ft4lXkHX0lw0eU4vX2f7NxKNXmttpyXty7lLda1rDHWwFASaiIhTnz+fDY0ynJ0hWa5EDBcIhXy9/khZo32ODKCFmI7FAWM3xTObFoHgtGzen3EWqpWpfQ/7UZDod5Z1cz/9jYxLI9HsrbIiOnJ2e3cs5ED5fMKqAwW6eNyoHaAyGeWVvLXzYFWFufQRgPRWntzB8eYtGUTE6anNfvI9SGUm2GQmHWbGxm6Zp21m/1U9ecieEYM7yJE4+G04/PIzsz+ZOYS+ppbg3y/NJGlr0Lu6qzAaMgp5WZEztYMCudo6Zm401gbQ7J5lE4HKa2roHKmlr2VtVQWxe55HNWZgYjR5QwduQICgvyuv0rdai5mR133UXVn/5E5rRpTPvpT0kfowl5B6vGVaso+9znCDY0MPrGGyldvBhPN6eohcNhKqr2sbuiij2V1XR0BPB4jJKiQoaXFDG8pJD83Jx+GfmQqm+2/VGboVCImtp6qit3077xcfL2Pk1x81sYYdpKTiRj9o3kHXW5rpwmPRZo2EXtip9jG36Lv20XHd48KgrOITD+EvImLGTYsGJys7NUm4fQHujg7Yp1LK99h3UdG6jxRkbmFoeKmJMxk0WjTmJq4YR+SCtDRX1bI8/teo03G9ewhe2ELIQ/7GeyjWdWzpEsHHEsY/IO/zTkVK1L6J/arG7q4OWyBpbtDLCq2kdd0A84xme2sWAUXHJ0PpOHpcYVKWVgqGho58l363h1Z5iNjRmE8JDtCTCzsIPjRvk4Y1oe44oO/+Ixg702d1d18PZ7zazbHKKsPJO2Dj+Go7S4mVlTwpy9IJfhxWrmSs9VVLfzwoom3n7fS0VtFmBk+DuYPKqNY6YZ84/KoaTw8F9TQ755FAqFqG9oompfLVU1ddTU1hEKhQEozM9l5IhhjBxeQl5udsxfIMJtbVQ++ii777uP4L59lC5ezJibbvpgPhwZvDqqqtj+rW9R+9xzZEyaxOgbbqDo3HOxGCMXnHPU1Naxe281FdU1NDa1AOD3pzG8uJDiogKKC/LJy83u03DgVH2z7UttBoMh6hoaqKqpo3bPJjzlL1DcuJSi5pX4wq2EMkfjnX4VObOvx1s07dA7FInBuTCBbc/T9Na9eHY8g7kgrWkjqMw9mcbCk8gYdzJFw0opLsgjNyf2e8HBDKbaDASClO+rZEXNata0vMcW206btx1zxihXyuysmZw28ngm54+LU2oZSpoDrbyyewXLa1exKbyNVk8rAEXBQqalTWJ27gzmDTuawpzu/7B3MKlal9C32qxr7uD1rY0s29HOmhov5W3pgJFmIabltnPSWC/nzchjdIE+n8rhq2sO8Pf1dSzZHmR9nZ/mcGR0zDB/O0cXBZkzMo0TJmQzoThzSNemc45dFR28vb6V9VvDbN/rp6k1Mq9bmjfIuNJW5h4BJ83NpShffwCVw1ddG+C1VY2s3ujYvjeLQChSm4U5rUwcFeDISR7mTs9ieHHv5xccUs2jUHs7TW3t1DU2U1vXwL76Buobmtj/OHNzshlWXMiw4gJKigpJ98cu4HAgQPOaNex79lmqn3qKUEMDuccdx9j//m9yjj663x+bpLbaF19k149/TGtZGf5Royi56CKKFi0ic+pU7CBNoNa2dqpq9lFZXUtl9T7a2jsA8Hq9FObnUlSQT2FBLgXZmWRmZHQ7sqmzVH2zPWRthoI01VZSW7OHpppy2qs34Bq2ktO6kfzW9WQFdgMQzhqJf9KHSZ/xMbxjTsFM86VI/wq37iO4+Sna3n+Y8M4XsXAHYfPRkDGdhoxptGVNxFt8JDnFE8gbNpb84pFkZGYf8rU4UGszEAqyt66a8voKtjTsYFvbLnZYOVX+apw50p2fab7JzM+fxUkj5lGQrrlSJH7C4TDra8tYWvUOa1vfZxd7CFsYb9hLaXAE07wTOTJnCuMLRjEqfzhZ6Qf/pTVV6xIOXZvtgSDbq5pZu7uZVXtDvFfrY2db5JQiD2EmZLVzzHDHwvEZnDAhj4wkXtpZBr9QOMw7O5t4ZUsLb1c4yprSCbjIay7P28GU3AAzh3k4dnQ6s8fkkJ3hG7S12doWoGxHM+s2B9i009hVGZm7CMDvCzCqpJWpY8PMPiKdGZOz8SVoEnIZmgLBMO+838LqjW2U7fSyd18moXDkNZeT2cao4g4mjobpE/3MmJRJ1iFOkRxSzaM3Lv8ovnXv4nw+XJofy8jAk52NLzeX9Px8/Pl5eHNy/vmVnY03NxdPZiah5maCdXV07NlDa1kZzevXE25uxtLSKDzrLIZfcYUmxR7iXDhM7XPPUfnoozQsXQrO4SssJHvmTDImTiR95Ei8eXl4syLzZIUDAVwgQLC+PvJVW0v7vn207aslUF9PqLER19yMp60VC4exCy9h/nfuOGiGVH2zPVhtOufY87NJZLdvO2BZOHMEvlEL8I8+Ed/4s/EMmxX3iY1F9nPtDQTLXyO48yU6dryMq1mLhVoPWK925teZcO5tB93XQKzNQCDI1e9+joAn8M87HYz0jmBW1nROGDaHmXnT8Jk++EpytAbbeLN6DStr3+W99k3so/Zfll+T/REumboo5vapWpdw8NqsqG3mw48GgMj7oeEYm9XBrBLH8WPSOGlyHrkZmiNFkqcjGGLVzmbe3NnK2qowZQ37T5uM+O7CAGfNKIm5/UCtzXVldXz3wcgpQwAZ/gBjhrUydaxj1tQ0pk/KUbNIkqq9PcTashbeLetg625jb43/g+amWZgvL25n+qTYfwg8WG0OunedwgsuIDx3DunO4QuHCLe2EmpqItTcTKixkZbKCkKNjYSamgi3HvgLAoAnO5usqVMpOf988hYsIO+EE/Dl5ib4kUgqMo+HonPOoeicc+iorKT+jTdoXLGClo0baXzrrZivKQC8Xnz5+fgKCvDn5ZE5dgy+3Fw8OTkE/Om0O8iZMzthjyWRzIzwjE/R6lrJyishI3cYnvxJeAqm4MksSnY8GcIsPY+0SeeRNuk8Momc3uYadhCq3UiwqYKW2l20NdWSO/HUZEeNi7Q0H4syTiYjPYPh2YWMzxnDuMxRZHp1youkhkxfBqeUHscppccBUNlezaambZQ3VlDbUs+RhZOTnDA+SvIyuGR8PaV56UwZnsmxYzLJ8esPK5I6/D4vx0/M4/iJ//wldGdtO8u3N7O5uoOpIwbnKNVxI7M5aVY9Y0akcdSUTMaNzMRMV0iT1JGe7uXYmbkcO/Of9+2pamdtWQtlO0JMGJ0fe+NDGHQjj3rDBYORplJTE6GWFrzZ2fgKCvBk9v68XREXDkcak9HmJF4v5vPhSUuLjEbKzdWkvCKDmGpTJPWkal2CalOGNtWmSGoaUiOPesN8vshIkPy+d99E9jOPR68nERERERERGXQ0E62IiIiIiIiIiMSk5pGIiIiIiIiIiMQU1+aRmZ1rZhvMrMzMvtTN8nQzezi6fLmZTYhnHhGJUG2KpCbVpkhqUm2KpCbVpkjixK15ZGZe4GfAh4AZwJVmNqPLap8Aap1zU4C7gTvjlUdEIlSbIqlJtSmSmlSbIqlJtSmSWPEceXQcUOac2+Kc6wAeAi7qss5FwIPR7x8FzjRd5kwk3lSbIqlJtSmSmlSbIqlJtSmSQPG82tpoYGenf+8Cjo+1jnMuaGb1QDFQ3XklM/sk8MnoP5vMbMMhfnZJ132kuIGUdyBlhcGZd/xh/gzVZs8NpLwDKSsMzryqzcQYSFlBeePtUHkPty5BtdlTAykrKG+8qTZTx0DKCsobT4f1eTaezaN+45y7D7ivp+ub2Urn3Lw4RupXAynvQMoKyhtvqs3UMZCygvLG22CuzYGUFZQ33gZaXtVm6lDe+BpoeVWbqUN54+dws8bztLVyYGynf4+J3tftOmbmA/KBmjhmEhHVpkiqUm2KpCbVpkhqUm2KJFA8m0dvAlPNbKKZ+YGPAk91Wecp4Nro9x8BXnTOuThmEhHVpkiqUm2KpCbVpkhqUm2KJFDcTluLnlN6E/APwAv8r3NunZndDqx0zj0F3A/8zszKgH1ECr4/9HjIYYoYSHkHUlZQ3gOoNntlIOUdSFlBeQ+g2uyxgZQVlDfeVJupYyBlBeWNN9Vm6hhIWUF54+mwspoaryIiIiIiIiIiEks8T1sTEREREREREZEBTs0jERERERERERGJaVA0j8zs38xsnZmFzSzmpefM7Fwz22BmZWb2pURm7JKjyMyeM7NN0dvCGOuFzOyd6FfXyd/infGgz5WZpZvZw9Hly81sQiLzdZPnUHkXm1lVp+fz+mTkjGb5XzOrNLO1MZabmf0k+ljWmNncRGfsL6rNuGRUbcaJarPb9ZJemwOhLqM/X7UZJ6rNbtdTbfY8p2ozTlSb3a6n2ux5zgFTmwOpLqN54lObzrkB/wUcCRwBLAHmxVjHC2wGJgF+YDUwI0l5vwd8Kfr9l4A7Y6zXlKR8h3yugBuBX0S//yjwcBKPf0/yLgbuSVbGLllOAeYCa2MsPw/4G2DACcDyZGc+jMeq2uzffKrN+OZVbfby+CUoa0rXZU+fK9XmYeVVbfby+CUoq2ozOXlVm8l5rKrN/s04YGpzoNVlNE9canNQjDxyzq13zm04xGrHAWXOuS3OuQ7gIeCi+Kfr1kXAg9HvHwQuTlKOWHryXHV+DI8CZ5qZJTBjZ6l0bA/JOfcKkas9xHIR8FsXsQwoMLORiUnXv1Sb/U61GUeqzQOkyvFL9boE1WZcqTYPkCrHT7XZ/1Ll2PaIavMAqXL8VJv9K1WOa4/FqzYHRfOoh0YDOzv9e1f0vmQY4ZzbE/1+LzAixnoZZrbSzJaZ2cWJiQb07Ln6YB3nXBCoB4oTku5APT22l0WH5T1qZmMTE61PUum1mgip9HhVm/1LtTmwpcrjTfW6BNVmsqXKazVRUuXxqjb7n2pzYEuVx6va7F+DrS6hj69VX9zi9DMzex4o7WbRV5xzTyY6z6EcLG/nfzjnnJm5GLsZ75wrN7NJwItm9q5zbnN/Zx0ingb+6JxrN7NPEelin5HkTIOCalO1eZhUm3EykGpTdZmSVJtxotpUbR4m1WacqDZVm4dhSNTlgGkeOefOOsxdlAOdO4BjovfFxcHymlmFmY10zu2JDg+rjLGP8ujtFjNbAswhcr5lvPXkudq/zi4z8wH5QE0CsnXnkHmdc52z/ZrIucCpKqGv1cOl2lRtHoRqM4kGUm0O8LoE1WayqTZVm7GoNpNLtanajGUg1eZgq0vo42t1KJ229iYw1cwmmpmfyKRbCZ9VPuop4Nro99cCB3SyzazQzNKj35cAC4H3EpSvJ89V58fwEeBF51ysrna8HTJvl3M4LwTWJzBfbz0FfDw6C/4JQH2noaeDkWqz51SbyaXaTE5tpnpdgmoz2VSbqs1YVJvJpdpUbcYykGpzsNUl9LU2XQrMBn64X8AlRM7TawcqgH9E7x8F/LXTeucBG4l0VL+SxLzFwAvAJuB5oCh6/zzg19HvTwTeJTKb+7vAJxKc8YDnCrgduDD6fQbwCFAGrAAmJfk1cKi83wHWRZ/Pl4DpScz6R2APEIi+bj8B3ADcEF1uwM+ij+VdYlzRYSB8qTbjklG1Gb+sqs0UrM2BUJexnivVZr9lVW2qNg8np2ozfllVm6rNw8k5YGpzINVlNE9catOiG4uIiIiIiIiIiBxgKJ22JiIiIiIiIiIivaTmkYiIiIiIiIiIxKTmkYiIiIiIiIiIxKTmkYiIiIiIiIiIxKTmkYiIiIiIiIiIxKTmkYiIiIiIiIiIxKTmkYiIiIiIiIiIxKTmkfSImc03szVmlmFm2Wa2zsyOSnYukaFOtSmSmlSbIqlHdSmSmlSbA4M555KdQQYIM7sDyAAygV3Oue8kOZKIoNoUSVWqTZHUo7oUSU2qzdSn5pH0mJn5gTeBNuBE51woyZFEBNWmSKpSbYqkHtWlSGpSbaY+nbYmvVEM5AC5RLrCIpIaVJsiqUm1KZJ6VJciqUm1meI08kh6zMyeAh4CJgIjnXM3JTmSiKDaFElVqk2R1KO6FElNqs3U50t2ABkYzOzjQMA59wcz8wJvmNkZzrkXk51NZChTbYqkJtWmSOpRXYqkJtXmwKCRRyIiIiIiIiIiEpPmPBIRERERERERkZjUPBIRERERERERkZjUPBIRERERERERkZjUPBIREUkwM3vQzCrNLLuP219qZs7MzuzvbJJ6zGxC9Hg/0IttFke3WRy/ZNKZmZ0Wfc5vTXYWERGR/qbmkYiISAKZ2XzgGuC7zrnmPu7mceBt4IdmlnLv5WZ2a/SX6Fhf25KdUQYWM3sg+tqZkOwsIiIiQ5Ev2QFERESGmG8BDcDP+7oD55wzszuBh4GPAn/op2z97WVgSTf31yU2xpD0OLAM2JPsICIiIjLwqXkkIiKSIGY2DTgL+LVzrvUwd/cUkSbMjaRu82iJc+7WZIcYipxz9UB9snOIiIjI4JByQ91FREQGsesAIzJiqFtmdraZPR2dE6ndzHaa2ZNmdlbn9ZxzbcATwEIzm96TH9557hwzm25mT5jZPjNrNrPXzOzsbrb5YO4cM/uwmb0RXb/WzB41s6m9ega6z3WsmT3W6TFvN7N7zWxkN+vuP31pkpn9h5mtMbNWM1vSZflEM7vJzN4zszYz22ZmXzYzi673b2a2IvpYKs3sHjPLPMzHMcbMfmJmm6KZ9kV/xte6rOf25z3I45sQY3mvj1tfc/bicS+J/ixf9Dne1Om1e6eZ+bvZ5mIz+z8z2xh9HM1m9paZ/WfXUzHNzAHXRv+5tbvTH6PHdxvd6HQa5Wld9xvNXmpmvzazcjML7X/OzGyamX3XzFaaWVWn1+Z9ZjamL8+ViIjIQKWRRyIiIolzFhAicjrRAczsNuDrQBORxtBOYBRwInA18HyXTV4HFkf3+34vckwElgLvAr8ERgJXAH8zs6ucc901ty4FPkTkdKglwGzgMuB0MzvRObehFz//A2Z2PvAYkabao8B24Fjg08BFZnaSc25rN5v+GDgZeAb4K5HntbO7gNOAp4FngQuJnDLoN7N9wHeJPMevAouAzwDe6M/ty+OYB/wDKAJeAf4MZAEzgFuBb/Zlv1305bglMucfiByTvxE5NfM84IvAcODfu6z7XSAMLAfKgXzgDCLHdf+8YPvdBlwMHBNdXhe9v47DV0SkHpuIPBdhoCK67FLgBuAl4A2gA5gJXA9cYGbznHPl/ZBBREQk5al5JCIikgAWubLabGB9dxNlR0ePfB3YCpzc9ZfSGCMd3ozengLc04s4pwB3Oee+0Gn/9xBpTPzCzP7mnGvoss0FwAXOub902uazwI+Ae4Hurvx2mnV/5akHnHPbzCwHeJDI55HTnHOvdtr3/xBpMPwSOGBkDTAXmBOjsQSRBtSs/c9jNEcZ8AWgBTjWObc+uiwdWAVcZ2bfcM5Vxthnt6Ijax4h0oj4mHPuD12W99colb4ct0TmnAzMdM7ti+7vK8Bq4ONmdotzbm+ndT/snNvc5ed7gN9E17/HObccwDl3a3Qk1jHAj5xz2w4zZ2dHA78DrnPOBbss+x1wt3OuvUvOs4k0yL5KH5uNIiIiA41OWxMREUmM0URGtsSawPg/oref7240g3NuVzfb7P9lfFwvs9QDt3fZ/0rg90ABcEk327zYuXEUdQ+wGTjDzMZ3s82pwDe6+ZoQXX4RkUbGw50bR1E/ALYBi8ysu8f3vYM0jgC+2fl5dM7VEZknKgv4+f7GUXRZO5FTCf3AkQfZZywXEHlMT3VtyET3392x64u+HLfO4p3zf/Y3jqL7a45m8wDzuvyszV22xTkXJjKyCOCcw8zSUx3Azd00jnDOlXdtHEXvfxZYR+IyioiIJJ2aRyIiIolRHL2tjbH8BMABf+/FPvf/ol7SyyxvO+cau7l/SfR2TjfLXu56h3MuBLx2kG1uc85ZN1/7f87c6O2L3ew7SOS0qlj7XtHNfZ2t7Oa+3dHbt7pZtr/R1JfRNydEb//Wh217oy/HrbN45+zuOd8ZvS3sfKeZFUfnE1pjZk375zHin8dmdJwydrUt1kgzi7jazJ6PznkU7JTz6ARmFBERSTqdtiYiIpIY+6+ulhFjeQFQ28ursO2f4Lm3V26riHH//pFM+f20zaHs3ybWaKz99xcc5OfG0t2VxoI9WJZ2iP12pyB6G+/5bw73GBREb+OSMzq6q6v9z6t3/x1mVkDklMuJRJqAvyXSCA1GM34WSI9Hxm4c7HX0Q+BzRF6H/yDyvO2vtcVAd6PtREREBiU1j0RERBJj/+iG4hjL64BiM8vsRQNp/756NUcPMCLG/aXR2+6aK33Z5lD2b1MaY/nILut15vrw8+KlLnrb05EojtifwQoOst3hHoO66G2yR8xcT6RxdJtz7tbOC8xsAZHmUW+FiZx22J2Cg2zX7evIzIYD/wmsBU7sOuLLzK7sQ0YREZEBS6etiYiIJMYeoAo4IsbyZUSuOHZuL/Y5PXr7Ti+zzDWz3G7uPy16u6qbZad2vcPMvMBJB9nmUPZvc1rXBWbmI3LlLoC3+7DvRNp/9bwP9XD9WmBs1zujz+fsg2zXl+PWWW9zxsuU6O1j3Sw74HUWtf9qet4Yy2uBEWbW3cixed3cdyiTiHxOfrabxtGY6HIREZEhQ80jERGRBHDOOSJz+JSY2ZRuVvlp9PYHZnbAyJDu7uOfc9i81Ms4+USu7NZ5//OAjxEZvfJ4N9ucYWbnd7nvJiJX2HrJObe9lxkAniByutKVZnZCl2WfIzI65Xnn3I4+7DuRniYyufeF3Y1I6eYqZiuAcdGrdnX2VQ5+KlRfjtvh5IyXbdHb07r8/DnALTG2qYnexpocfgWR0Vz/3mWfi4GFh5HxpGhTb//+coBfodH7IiIyxOiNT0REJHEeAy4jcpWmss4LnHPPmtkdRBoI683sCSKTDY8gMrpnGZF5Vjo7m8ipSAdMOH0IrwDXm9nxwOtETg+7gsgflT4V43LvTwOPm9nj0eyziYxg2Qfc2MufD4BzrsnMriNy+fiXzewRYAdwLJHHthf4VF/2nUjOuQ4z+zfgWeAPZvYpIscrg8jV287kXz9z3UXkNfCkmT1M5Dk8kUizbAndjMSK6stxO5yc8fJb4AvAj8zsdGATMBU4H/gzkcfU1QvRbX5lZo8BjUCdc+6e6PKfEmkc/dzMziRSO7OBBcBfovvuMefcXjN7CPgo8I6ZPUukebcIaCMy2m92b/YpIiIykGnkkYiISOI8RmR+oo93t9A59zXgw8AbRH7ZvZlIk2E9kV+4P2Bm04iMPHrQOdfSyxxbiTQraoEbgMuJnBp2nnPu4Rjb/JnIpeDHEpmT5sTofQucc+/38ud/wDn3JJGRIX8l8lhvJtLI+AVwrHNuS1/3nUjOuZVEmgk/JzJ66L+Ba4jMt/P1Luu+AFxM5HLvHwWuJTLS5TjgYCO4+nLc+pwzXpxzu4mckvgMkcboTdEsNwJfirHNP4DPAwEio9K+SeS1sn/5e8BZRJpqFwCfBNqJNI+6u7peT3wC+DaRiek/Q+T1+Rcix6Avc3yJiIgMWBYZRS8iIiKJYGa3EPmFdK5zri/zBO3fzw+I/NJ9ZE8bLGY2gUgD4kHn3OIebrMY+A3w7865B/qSVUREREQGNo08EhERSay7iZyadXtfd2BmI4FPAz8dKCNzRERERGTgUvNIREQkgZxzbUROE1ppZtl93M0E4E7gjv7KJSIiIiISiybMFhERSTDn3CtEJj/u6/ZLgaX9l0i6MrNbe7jqE865d+IYJeHM7HNE5kA6lCXOuSVxDSMiIiIpQXMeiYiIiHRhZj39gDTo5oIys21EJrA+lNucc7fGN42IiIikAjWPREREREREREQkJs15JCIiIiIiIiIiMal5JCIiIiIiIiIiMal5JCIiIiIiIiIiMal5JCIiIiIiIiIiMal5JCIiIiIiIiIiMal5JCIiIiIiIiIiMf1/4yDQEzQ6Y10AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax_arr = plt.subplots(1,5, figsize=(20, 5))\n",
    "bottom_pos = -0.2\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[0],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_natural5, x=\"x\", y=\"y\",color=\"#c92a2a\",ax=ax_arr[0],ci=68,label=\"ppForm_cubic_natural5\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[1],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_natural10, x=\"x\", y=\"y\",color=\"#f08c00\",ax=ax_arr[1],ci=68,label=\"ppForm_cubic_natural10\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[2],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_natural20, x=\"x\", y=\"y\",color=\"#51cf66\",ax=ax_arr[2],ci=68,label=\"ppForm_cubic_natural20\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[3],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_natural40, x=\"x\", y=\"y\",color=\"#339af0\",ax=ax_arr[3],ci=68,label=\"ppForm_cubic_natural40\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[4],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_natural80, x=\"x\", y=\"y\",color=\"#5c7cfa\",ax=ax_arr[4],ci=68,label=\"ppForm_cubic_natural80\")\n",
    "\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "# ax.set_xlabel('ppForm_cubic_ssd',fontsize=12)\n",
    "# ax.legend(['x'])\n",
    "ax.set_title(\"(c) ppForm_cubic_natural\",x=-1.9, y=bottom_pos, fontsize=20)\n",
    "save_picture(plt, \"png\", \"ppForm_cubic_natural\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "141c6254",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax_arr = plt.subplots(1,5, figsize=(20, 5))\n",
    "bottom_pos = -0.2\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[0],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_ssd5, x=\"x\", y=\"y\",color=\"#c92a2a\",ax=ax_arr[0],ci=68,label=\"ppForm_cubic_ssd5\")\n",
    "\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[1],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_ssd10, x=\"x\", y=\"y\",color=\"#f08c00\",ax=ax_arr[1],ci=68,label=\"ppForm_cubic_ssd10\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[2],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_ssd20, x=\"x\", y=\"y\",color=\"#51cf66\",ax=ax_arr[2],ci=68,label=\"ppForm_cubic_ssd20\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[3],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_ssd40, x=\"x\", y=\"y\",color=\"#339af0\",ax=ax_arr[3],ci=68,label=\"ppForm_cubic_ssd40\")\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[4],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=ppForm_cubic_ssd80, x=\"x\", y=\"y\",color=\"#5c7cfa\",ax=ax_arr[4],ci=68,label=\"ppForm_cubic_ssd80\")\n",
    "\n",
    "ax.set_xlim(-1.1,1.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax.set_title(\"(d) ppForm_cubic_ssd\",x=-1.9, y=bottom_pos, fontsize=20)\n",
    "save_picture(plt, \"png\", \"ppForm_cubic_ssd\")\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f69e07ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "Bspline_linear=pd.read_csv(\"Bspline_linear.csv\")\n",
    "Bspline_cubic_complete=pd.read_csv(\"Bspline_cubic_complete.csv\")\n",
    "Bspline_cubic_natural=pd.read_csv(\"Bspline_cubic_natural.csv\")\n",
    "Bspline_cubic_ssd=pd.read_csv(\"Bspline_cubic_ssd.csv\")\n",
    "Bspline_quadratic=pd.read_csv(\"Bspline_quadratic.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "172a8987",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-1.0000</td>\n",
       "      <td>0.50000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.9999</td>\n",
       "      <td>0.50005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.9998</td>\n",
       "      <td>0.50010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.9997</td>\n",
       "      <td>0.50015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.9996</td>\n",
       "      <td>0.50020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19995</th>\n",
       "      <td>0.9995</td>\n",
       "      <td>0.50025</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19996</th>\n",
       "      <td>0.9996</td>\n",
       "      <td>0.50020</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19997</th>\n",
       "      <td>0.9997</td>\n",
       "      <td>0.50015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19998</th>\n",
       "      <td>0.9998</td>\n",
       "      <td>0.50010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19999</th>\n",
       "      <td>0.9999</td>\n",
       "      <td>0.50005</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>20000 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            x        y\n",
       "0     -1.0000  0.50000\n",
       "1     -0.9999  0.50005\n",
       "2     -0.9998  0.50010\n",
       "3     -0.9997  0.50015\n",
       "4     -0.9996  0.50020\n",
       "...       ...      ...\n",
       "19995  0.9995  0.50025\n",
       "19996  0.9996  0.50020\n",
       "19997  0.9997  0.50015\n",
       "19998  0.9998  0.50010\n",
       "19999  0.9999  0.50005\n",
       "\n",
       "[20000 rows x 2 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X = np.arange(-1,1, 0.0001)\n",
    "Y1 = []\n",
    "X1=[]\n",
    "for x in X:\n",
    "    y = 1/(1+x*x)\n",
    "    X1.append(x)\n",
    "    Y1.append(y)\n",
    "f=pd.DataFrame(X1)\n",
    "\n",
    "f.columns = ['x']\n",
    "f['y']=Y1\n",
    "f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3edd367d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 5 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax_arr = plt.subplots(1,5, figsize=(20, 5))\n",
    "bottom_pos = -0.2\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[0],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=Bspline_linear, x=\"x\", y=\"y\",color=\"#c92a2a\",ax=ax_arr[0],ci=68,label=\"Bspline_linear\")\n",
    "ax.set_xlim(-5.1,5.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[1],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=Bspline_cubic_complete, x=\"x\", y=\"y\",color=\"#f08c00\",ax=ax_arr[1],ci=68,label=\"Bspline_cubic_complete\")\n",
    "ax.set_xlim(-5.1,5.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[2],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=Bspline_cubic_natural, x=\"x\", y=\"y\",color=\"#51cf66\",ax=ax_arr[2],ci=68,label=\"Bspline_cubic_natural\")\n",
    "ax.set_xlim(-5.1,5.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[3],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=Bspline_cubic_ssd, x=\"x\", y=\"y\",color=\"#339af0\",ax=ax_arr[3],ci=68,label=\"Bspline_cubic_ssd\")\n",
    "ax.set_xlim(-5.1,5.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax=sns.lineplot(data=f, x=\"x\", y=\"y\",color=\"#adb5bd\",ax=ax_arr[4],ci=68,label=\"f\")\n",
    "ax=sns.lineplot(data=Bspline_quadratic, x=\"x\", y=\"y\",color=\"#5c7cfa\",ax=ax_arr[4],ci=68,label=\"Bspline_quadratic\")\n",
    "ax.set_xlim(-5.1,5.1)\n",
    "ax.set_ylim(0,1.2)\n",
    "\n",
    "ax.set_title(\"(e) Bspline\",x=-1.9, y=bottom_pos, fontsize=20)\n",
    "save_picture(plt, \"png\", \"Bspline\")\n",
    "\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
